3862639872 has 720 divisors, whose sum is σ = 14958155520. Its totient is φ = 963477504.

The previous prime is 3862639861. The next prime is 3862639883. The reversal of 3862639872 is 2789362683.

It is a happy number.

3862639872 is a `hidden beast` number, since 3 + 8 + 626 + 3 + 9 + 8 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3862639861) and next prime (3862639883).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43400404 + ... + 43400492.

It is an arithmetic number, because the mean of its divisors is an integer number (20775216).

Almost surely, 2^3862639872 is an apocalyptic number.

3862639872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3862639872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7479077760).

3862639872 is an abundant number, since it is smaller than the sum of its proper divisors (11095515648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3862639872 is a wasteful number, since it uses less digits than its factorization.

3862639872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3862639872 is about 62150.1397584913. The cubic root of 3862639872 is about 1569.0185316370.

The spelling of 3862639872 in words is "three billion, eight hundred sixty-two million, six hundred thirty-nine thousand, eight hundred seventy-two".