# 3640

## 3,640 is an even composite number composed of four prime numbers multiplied together.

What does the number 3640 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

3640 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 3640:

### 23 × 5 × 7 × 13

(2 × 2 × 2 × 5 × 7 × 13)

See below for interesting mathematical facts about the number 3640 from the Numbermatics database.

### Names of 3640

• Cardinal: 3640 can be written as Three thousand, six hundred forty.

### Scientific notation

• Scientific notation: 3.64 × 103

### Factors of 3640

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 27

### Divisors of 3640

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 10080
• Sum of proper divisors (its aliquot sum) s(n): 6440
• 3640 is an abundant number, because the sum of its proper divisors (6440) is greater than itself. Its abundance is 2800

### Bases of 3640

• Binary: 1110001110002
• Base-36: 2T4

### Squares and roots of 3640

• 3640 squared (36402) is 13249600
• 3640 cubed (36403) is 48228544000
• The square root of 3640 is 60.3324125159
• The cube root of 3640 is 15.3827433619

### Scales and comparisons

How big is 3640?
• 3,640 seconds is equal to 1 hour, 40 seconds.
• To count from 1 to 3,640 would take you about forty 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 3640 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3640

• 3640 backwards is 0463
• 3640 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3640's digits is 13
• More coming soon!