# 3828

## 3,828 is an even composite number composed of four prime numbers multiplied together.

What does the number 3828 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

3828 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 3828:

### 22 × 3 × 11 × 29

(2 × 2 × 3 × 11 × 29)

See below for interesting mathematical facts about the number 3828 from the Numbermatics database.

### Names of 3828

• Cardinal: 3828 can be written as Three thousand, eight hundred twenty-eight.

### Scientific notation

• Scientific notation: 3.828 × 103

### Factors of 3828

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 45

### Divisors of 3828

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 10080
• Sum of proper divisors (its aliquot sum) s(n): 6252
• 3828 is an abundant number, because the sum of its proper divisors (6252) is greater than itself. Its abundance is 2424

### Bases of 3828

• Binary: 1110111101002
• Base-36: 2YC

### Squares and roots of 3828

• 3828 squared (38282) is 14653584
• 3828 cubed (38283) is 56093919552
• The square root of 3828 is 61.8708331931
• The cube root of 3828 is 15.6431415949

### Scales and comparisons

How big is 3828?
• 3,828 seconds is equal to 1 hour, 3 minutes, 48 seconds.
• To count from 1 to 3,828 would take you about three 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 3828 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3828

• 3828 backwards is 8283
• The number of decimal digits it has is: 4
• The sum of 3828's digits is 21
• More coming soon!