# 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!