3956628816 has 160 divisors (see below), whose sum is σ = 13106462720. Its totient is φ = 1119401856.

The previous prime is 3956628803. The next prime is 3956628821. The reversal of 3956628816 is 6188266593.

It is a happy number.

3956628816 is a `hidden beast` number, since 3 + 9 + 5 + 6 + 628 + 8 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305121 + ... + 317823.

It is an arithmetic number, because the mean of its divisors is an integer number (81915392).

Almost surely, 2^3956628816 is an apocalyptic number.

3956628816 is a gapful number since it is divisible by the number (36) 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 3956628816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6553231360).

3956628816 is an abundant number, since it is smaller than the sum of its proper divisors (9149833904).

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

3956628816 is a wasteful number, since it uses less digits than its factorization.

3956628816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12830 (or 12818 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 3956628816 is about 62901.7393718171. The cubic root of 3956628816 is about 1581.6429014730.

The spelling of 3956628816 in words is "three billion, nine hundred fifty-six million, six hundred twenty-eight thousand, eight hundred sixteen".