# 3564

## 3,564 is an even composite number composed of three prime numbers multiplied together.

What does the number 3564 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

3564 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

## Prime factorization of 3564:

### 22 × 34 × 11

(2 × 2 × 3 × 3 × 3 × 3 × 11)

See below for interesting mathematical facts about the number 3564 from the Numbermatics database.

### Names of 3564

• Cardinal: 3564 can be written as Three thousand, five hundred sixty-four.

### Scientific notation

• Scientific notation: 3.564 × 103

### Factors of 3564

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 16

### Divisors of 3564

• Number of divisors d(n): 30
• Complete list of divisors:
• Sum of all divisors σ(n): 10164
• Sum of proper divisors (its aliquot sum) s(n): 6600
• 3564 is an abundant number, because the sum of its proper divisors (6600) is greater than itself. Its abundance is 3036

### Bases of 3564

• Binary: 1101111011002
• Base-36: 2R0

### Squares and roots of 3564

• 3564 squared (35642) is 12702096
• 3564 cubed (35643) is 45270270144
• The square root of 3564 is 59.6992462263
• The cube root of 3564 is 15.2749301089

### Scales and comparisons

How big is 3564?
• 3,564 seconds is equal to 59 minutes, 24 seconds.
• To count from 1 to 3,564 would take you about fifty-nine 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 3564 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3564

• 3564 backwards is 4653
• 3564 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3564's digits is 18
• More coming soon!