# 3960

## 3,960 is an even composite number composed of four prime numbers multiplied together.

What does the number 3960 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

3960 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 3960:

### 23 × 32 × 5 × 11

(2 × 2 × 2 × 3 × 3 × 5 × 11)

See below for interesting mathematical facts about the number 3960 from the Numbermatics database.

### Names of 3960

• Cardinal: 3960 can be written as Three thousand, nine hundred sixty.

### Scientific notation

• Scientific notation: 3.96 × 103

### Factors of 3960

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 21

### Divisors of 3960

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 14040
• Sum of proper divisors (its aliquot sum) s(n): 10080
• 3960 is an abundant number, because the sum of its proper divisors (10080) is greater than itself. Its abundance is 6120

### Bases of 3960

• Binary: 1111011110002
• Base-36: 320

### Squares and roots of 3960

• 3960 squared (39602) is 15681600
• 3960 cubed (39603) is 62099136000
• The square root of 3960 is 62.9285308903
• The cube root of 3960 is 15.8209197869

### Scales and comparisons

How big is 3960?
• 3,960 seconds is equal to 1 hour, 6 minutes.
• To count from 1 to 3,960 would take you about six 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 3960 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3960

• 3960 backwards is 0693
• 3960 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3960's digits is 18
• More coming soon!