# 3680

## 3,680 is an even composite number composed of three prime numbers multiplied together.

What does the number 3680 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

3680 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 3680:

### 25 × 5 × 23

(2 × 2 × 2 × 2 × 2 × 5 × 23)

See below for interesting mathematical facts about the number 3680 from the Numbermatics database.

### Names of 3680

• Cardinal: 3680 can be written as Three thousand, six hundred eighty.

### Scientific notation

• Scientific notation: 3.68 × 103

### Factors of 3680

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 30

### Divisors of 3680

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 9072
• Sum of proper divisors (its aliquot sum) s(n): 5392
• 3680 is an abundant number, because the sum of its proper divisors (5392) is greater than itself. Its abundance is 1712

### Bases of 3680

• Binary: 1110011000002
• Base-36: 2U8

### Squares and roots of 3680

• 3680 squared (36802) is 13542400
• 3680 cubed (36803) is 49836032000
• The square root of 3680 is 60.6630035525
• The cube root of 3680 is 15.4388852587

### Scales and comparisons

How big is 3680?
• 3,680 seconds is equal to 1 hour, 1 minute, 20 seconds.
• To count from 1 to 3,680 would take you about twenty 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 3680 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3680

• 3680 backwards is 0863
• The number of decimal digits it has is: 4
• The sum of 3680's digits is 17
• More coming soon!