# 3968

## 3,968 is an even composite number composed of two prime numbers multiplied together.

What does the number 3968 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 16 divisors.

3968 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 3968:

### 27 × 31

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 31)

See below for interesting mathematical facts about the number 3968 from the Numbermatics database.

### Names of 3968

• Cardinal: 3968 can be written as Three thousand, nine hundred sixty-eight.

### Scientific notation

• Scientific notation: 3.968 × 103

### Factors of 3968

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 33

### Divisors of 3968

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 8160
• Sum of proper divisors (its aliquot sum) s(n): 4192
• 3968 is an abundant number, because the sum of its proper divisors (4192) is greater than itself. Its abundance is 224

### Bases of 3968

• Binary: 1111100000002
• Base-36: 328

### Squares and roots of 3968

• 3968 squared (39682) is 15745024
• 3968 cubed (39683) is 62476255232
• The square root of 3968 is 62.9920629921
• The cube root of 3968 is 15.8315664387

### Scales and comparisons

How big is 3968?
• 3,968 seconds is equal to 1 hour, 6 minutes, 8 seconds.
• To count from 1 to 3,968 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 3968 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3968

• 3968 backwards is 8693
• The number of decimal digits it has is: 4
• The sum of 3968's digits is 26
• More coming soon!