# 3648

## 3,648 is an even composite number composed of three prime numbers multiplied together.

What does the number 3648 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

3648 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

## Prime factorization of 3648:

### 26 × 3 × 19

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 19)

See below for interesting mathematical facts about the number 3648 from the Numbermatics database.

### Names of 3648

• Cardinal: 3648 can be written as Three thousand, six hundred forty-eight.

### Scientific notation

• Scientific notation: 3.648 × 103

### Factors of 3648

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 24

### Divisors of 3648

• Number of divisors d(n): 28
• Complete list of divisors:
• Sum of all divisors σ(n): 10160
• Sum of proper divisors (its aliquot sum) s(n): 6512
• 3648 is an abundant number, because the sum of its proper divisors (6512) is greater than itself. Its abundance is 2864

### Bases of 3648

• Binary: 1110010000002
• Base-36: 2TC

### Squares and roots of 3648

• 3648 squared (36482) is 13307904
• 3648 cubed (36483) is 48547233792
• The square root of 3648 is 60.3986754821
• The cube root of 3648 is 15.3940045251

### Scales and comparisons

How big is 3648?
• 3,648 seconds is equal to 1 hour, 48 seconds.
• To count from 1 to 3,648 would take you about forty-eight 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 3648 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3648

• 3648 backwards is 8463
• The number of decimal digits it has is: 4
• The sum of 3648's digits is 21
• More coming soon!