# 3988320

## 3,988,320 is an even composite number composed of five prime numbers multiplied together.

What does the number 3988320 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 96 divisors.

3988320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.

## Prime factorization of 3988320:

### 25 × 3 × 5 × 7 × 1187

(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 1187)

See below for interesting mathematical facts about the number 3988320 from the Numbermatics database.

### Names of 3988320

• Cardinal: 3988320 can be written as Three million, nine hundred eighty-eight thousand, three hundred twenty.

### Scientific notation

• Scientific notation: 3.98832 × 106

### Factors of 3988320

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 1204

### Divisors of 3988320

• Number of divisors d(n): 96
• Complete list of divisors:
• Sum of all divisors σ(n): 14370048
• Sum of proper divisors (its aliquot sum) s(n): 10381728
• 3988320 is an abundant number, because the sum of its proper divisors (10381728) is greater than itself. Its abundance is 6393408

### Bases of 3988320

• Binary: 11110011011011011000002
• Base-36: 2DHEO

### Squares and roots of 3988320

• 3988320 squared (39883202) is 15906696422400
• 3988320 cubed (39883203) is 63440995475386368000
• The square root of 3988320 is 1997.0778652821
• The cube root of 3988320 is 158.5854475299

### Scales and comparisons

How big is 3988320?
• 3,988,320 seconds is equal to 6 weeks, 4 days, 3 hours, 52 minutes.
• To count from 1 to 3,988,320 would take you about nine weeks!

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 3988320 cubic inches would be around 13.2 feet tall.

### Recreational maths with 3988320

• 3988320 backwards is 0238893
• The number of decimal digits it has is: 7
• The sum of 3988320's digits is 33
• More coming soon!