# 3744

## 3,744 is an even composite number composed of three prime numbers multiplied together.

What does the number 3744 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

3744 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 3744:

### 25 × 32 × 13

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13)

See below for interesting mathematical facts about the number 3744 from the Numbermatics database.

### Names of 3744

• Cardinal: 3744 can be written as Three thousand, seven hundred forty-four.

### Scientific notation

• Scientific notation: 3.744 × 103

### Factors of 3744

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 18

### Divisors of 3744

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 11466
• Sum of proper divisors (its aliquot sum) s(n): 7722
• 3744 is an abundant number, because the sum of its proper divisors (7722) is greater than itself. Its abundance is 3978

### Bases of 3744

• Binary: 1110101000002
• Base-36: 2W0

### Squares and roots of 3744

• 3744 squared (37442) is 14017536
• 3744 cubed (37443) is 52481654784
• The square root of 3744 is 61.1882341631
• The cube root of 3744 is 15.5278721533

### Scales and comparisons

How big is 3744?
• 3,744 seconds is equal to 1 hour, 2 minutes, 24 seconds.
• To count from 1 to 3,744 would take you about two 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 3744 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3744

• 3744 backwards is 4473
• 3744 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3744's digits is 18
• More coming soon!