# 3672

## 3,672 is an even composite number composed of three prime numbers multiplied together.

What does the number 3672 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

3672 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 3672:

### 23 × 33 × 17

(2 × 2 × 2 × 3 × 3 × 3 × 17)

See below for interesting mathematical facts about the number 3672 from the Numbermatics database.

### Names of 3672

• Cardinal: 3672 can be written as Three thousand, six hundred seventy-two.

### Scientific notation

• Scientific notation: 3.672 × 103

### Factors of 3672

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 22

### Divisors of 3672

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 10800
• Sum of proper divisors (its aliquot sum) s(n): 7128
• 3672 is an abundant number, because the sum of its proper divisors (7128) is greater than itself. Its abundance is 3456

### Bases of 3672

• Binary: 1110010110002
• Base-36: 2U0

### Squares and roots of 3672

• 3672 squared (36722) is 13483584
• 3672 cubed (36723) is 49511720448
• The square root of 3672 is 60.5970296301
• The cube root of 3672 is 15.4276895439

### Scales and comparisons

How big is 3672?
• 3,672 seconds is equal to 1 hour, 1 minute, 12 seconds.
• To count from 1 to 3,672 would take you about twelve seconds.

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 3672 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3672

• 3672 backwards is 2763
• 3672 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3672's digits is 18
• More coming soon!