# 3864

## 3,864 is an even composite number composed of four prime numbers multiplied together.

What does the number 3864 look like?

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

3864 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 3864:

### 23 × 3 × 7 × 23

(2 × 2 × 2 × 3 × 7 × 23)

See below for interesting mathematical facts about the number 3864 from the Numbermatics database.

### Names of 3864

• Cardinal: 3864 can be written as Three thousand, eight hundred sixty-four.

### Scientific notation

• Scientific notation: 3.864 × 103

### Factors of 3864

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 35

### Divisors of 3864

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 11520
• Sum of proper divisors (its aliquot sum) s(n): 7656
• 3864 is an abundant number, because the sum of its proper divisors (7656) is greater than itself. Its abundance is 3792

### Bases of 3864

• Binary: 1111000110002
• Base-36: 2ZC

### Squares and roots of 3864

• 3864 squared (38642) is 14930496
• 3864 cubed (38643) is 57691436544
• The square root of 3864 is 62.1610810717
• The cube root of 3864 is 15.6920267303

### Scales and comparisons

How big is 3864?
• 3,864 seconds is equal to 4 minutes, 24 seconds.
• To count from 1 to 3,864 would take you about four 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 3864 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3864

• 3864 backwards is 4683
• 3864 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3864's digits is 21
• More coming soon!