# 38640

## 38,640 is an even composite number composed of five prime numbers multiplied together.

What does the number 38640 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 80 divisors.

38640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.

## Prime factorization of 38640:

### 24 × 3 × 5 × 7 × 23

(2 × 2 × 2 × 2 × 3 × 5 × 7 × 23)

See below for interesting mathematical facts about the number 38640 from the Numbermatics database.

### Names of 38640

• Cardinal: 38640 can be written as Thirty-eight thousand, six hundred forty.

### Scientific notation

• Scientific notation: 3.864 × 104

### Factors of 38640

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 40

### Divisors of 38640

• Number of divisors d(n): 80
• Complete list of divisors:
• Sum of all divisors σ(n): 142848
• Sum of proper divisors (its aliquot sum) s(n): 104208
• 38640 is an abundant number, because the sum of its proper divisors (104208) is greater than itself. Its abundance is 65568

### Bases of 38640

• Binary: 10010110111100002
• Base-36: TTC

### Squares and roots of 38640

• 38640 squared (386402) is 1493049600
• 38640 cubed (386403) is 57691436544000
• The square root of 38640 is 196.5705980049
• The cube root of 38640 is 33.8074467445

### Scales and comparisons

How big is 38640?
• 38,640 seconds is equal to 10 hours, 44 minutes.
• To count from 1 to 38,640 would take you about ten hours.

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 38640 cubic inches would be around 2.8 feet tall.

### Recreational maths with 38640

• 38640 backwards is 04683
• 38640 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 38640's digits is 21
• More coming soon!