# 38880

## 38,880 is an even composite number composed of three prime numbers multiplied together.

What does the number 38880 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 72 divisors.

38880 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seventy-two divisors.

## Prime factorization of 38880:

### 25 × 35 × 5

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

See below for interesting mathematical facts about the number 38880 from the Numbermatics database.

### Names of 38880

• Cardinal: 38880 can be written as Thirty-eight thousand, eight hundred eighty.

### Scientific notation

• Scientific notation: 3.888 × 104

### Factors of 38880

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 10

### Divisors of 38880

• Number of divisors d(n): 72
• Complete list of divisors:
• Sum of all divisors σ(n): 137592
• Sum of proper divisors (its aliquot sum) s(n): 98712
• 38880 is an abundant number, because the sum of its proper divisors (98712) is greater than itself. Its abundance is 59832

### Bases of 38880

• Binary: 10010111111000002
• Base-36: U00

### Squares and roots of 38880

• 38880 squared (388802) is 1511654400
• 38880 cubed (388803) is 58773123072000
• The square root of 38880 is 197.1801207019
• The cube root of 38880 is 33.8772970397

### Scales and comparisons

How big is 38880?
• 38,880 seconds is equal to 10 hours, 48 minutes.
• To count from 1 to 38,880 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 38880 cubic inches would be around 2.8 feet tall.

### Recreational maths with 38880

• 38880 backwards is 08883
• 38880 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 38880's digits is 27
• More coming soon!