# 3840

## 3,840 is an even composite number composed of three prime numbers multiplied together.

What does the number 3840 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

3840 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 3840:

### 28 × 3 × 5

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5)

See below for interesting mathematical facts about the number 3840 from the Numbermatics database.

### Names of 3840

• Cardinal: 3840 can be written as Three thousand, eight hundred forty.

### Scientific notation

• Scientific notation: 3.84 × 103

### Factors of 3840

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 10

### Divisors of 3840

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 12264
• Sum of proper divisors (its aliquot sum) s(n): 8424
• 3840 is an abundant number, because the sum of its proper divisors (8424) is greater than itself. Its abundance is 4584

### Bases of 3840

• Binary: 1111000000002
• Base-36: 2YO

### Squares and roots of 3840

• 3840 squared (38402) is 14745600
• 3840 cubed (38403) is 56623104000
• The square root of 3840 is 61.9677335393
• The cube root of 3840 is 15.6594705647

### Scales and comparisons

How big is 3840?
• 3,840 seconds is equal to 1 hour, 4 minutes.
• To count from 1 to 3,840 would take you about four minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 3840 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3840

• 3840 backwards is 0483
• 3840 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3840's digits is 15
• More coming soon!

MLA style:
"Number 3840 - Facts about the integer". Numbermatics.com. 2021. Web. 30 November 2021.

APA style:
Numbermatics. (2021). Number 3840 - Facts about the integer. Retrieved 30 November 2021, from https://numbermatics.com/n/3840/

Chicago style:
Numbermatics. 2021. "Number 3840 - Facts about the integer". https://numbermatics.com/n/3840/

The information we have on file for 3840 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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