# 3978

## 3,978 is an even composite number composed of four prime numbers multiplied together.

What does the number 3978 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

3978 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 3978:

### 2 × 32 × 13 × 17

(2 × 3 × 3 × 13 × 17)

See below for interesting mathematical facts about the number 3978 from the Numbermatics database.

### Names of 3978

• Cardinal: 3978 can be written as Three thousand, nine hundred seventy-eight.

### Scientific notation

• Scientific notation: 3.978 × 103

### Factors of 3978

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 35

### Divisors of 3978

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 9828
• Sum of proper divisors (its aliquot sum) s(n): 5850
• 3978 is an abundant number, because the sum of its proper divisors (5850) is greater than itself. Its abundance is 1872

### Bases of 3978

• Binary: 1111100010102
• Base-36: 32I

### Squares and roots of 3978

• 3978 squared (39782) is 15824484
• 3978 cubed (39783) is 62949797352
• The square root of 3978 is 63.0713881249
• The cube root of 3978 is 15.8448546491

### Scales and comparisons

How big is 3978?
• 3,978 seconds is equal to 1 hour, 6 minutes, 18 seconds.
• To count from 1 to 3,978 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 3978 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3978

• 3978 backwards is 8793
• The number of decimal digits it has is: 4
• The sum of 3978's digits is 27
• More coming soon!