# 3380

## 3,380 is an even composite number composed of three prime numbers multiplied together.

What does the number 3380 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

3380 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 3380:

### 22 × 5 × 132

(2 × 2 × 5 × 13 × 13)

See below for interesting mathematical facts about the number 3380 from the Numbermatics database.

### Names of 3380

• Cardinal: 3380 can be written as Three thousand, three hundred eighty.

### Scientific notation

• Scientific notation: 3.38 × 103

### Factors of 3380

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 20

### Divisors of 3380

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 7686
• Sum of proper divisors (its aliquot sum) s(n): 4306
• 3380 is an abundant number, because the sum of its proper divisors (4306) is greater than itself. Its abundance is 926

### Bases of 3380

• Binary: 1101001101002
• Base-36: 2LW

### Squares and roots of 3380

• 3380 squared (33802) is 11424400
• 3380 cubed (33803) is 38614472000
• The square root of 3380 is 58.1377674149
• The cube root of 3380 is 15.0074037525

### Scales and comparisons

How big is 3380?
• 3,380 seconds is equal to 56 minutes, 20 seconds.
• To count from 1 to 3,380 would take you about fifty-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 3380 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3380

• 3380 backwards is 0833
• The number of decimal digits it has is: 4
• The sum of 3380's digits is 14
• More coming soon!