3862621728 has 240 divisors, whose sum is σ = 13040818560. Its totient is φ = 1098676224.

The previous prime is 3862621717. The next prime is 3862621747. The reversal of 3862621728 is 8271262683.

3862621728 is a `hidden beast` number, since 3 + 8 + 626 + 2 + 17 + 2 + 8 = 666.

3862621728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3862621728² = 29839693227235411968, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6513400 + ... + 6513992.

It is an arithmetic number, because the mean of its divisors is an integer number (54336744).

Almost surely, 2^3862621728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3862621728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520409280).

3862621728 is an abundant number, since it is smaller than the sum of its proper divisors (9178196832).

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

3862621728 is a wasteful number, since it uses less digits than its factorization.

3862621728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 964 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 3862621728 is about 62149.9937892193. The cubic root of 3862621728 is about 1569.0160749133.

The spelling of 3862621728 in words is "three billion, eight hundred sixty-two million, six hundred twenty-one thousand, seven hundred twenty-eight".