# 3480

## 3,480 is an even composite number composed of four prime numbers multiplied together.

What does the number 3480 look like?

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

3480 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 3480:

### 23 × 3 × 5 × 29

(2 × 2 × 2 × 3 × 5 × 29)

See below for interesting mathematical facts about the number 3480 from the Numbermatics database.

### Names of 3480

• Cardinal: 3480 can be written as Three thousand, four hundred eighty.

### Scientific notation

• Scientific notation: 3.48 × 103

### Factors of 3480

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 39

### Divisors of 3480

• 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): 7320
• 3480 is an abundant number, because the sum of its proper divisors (7320) is greater than itself. Its abundance is 3840

### Bases of 3480

• Binary: 1101100110002
• Base-36: 2OO

### Squares and roots of 3480

• 3480 squared (34802) is 12110400
• 3480 cubed (34803) is 42144192000
• The square root of 3480 is 58.9915248151
• The cube root of 3480 is 15.1539697033

### Scales and comparisons

How big is 3480?
• 3,480 seconds is equal to 58 minutes.
• To count from 1 to 3,480 would take you about fifty-eight 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 3480 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3480

• 3480 backwards is 0843
• 3480 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3480's digits is 15
• More coming soon!