3556800360 has 48 divisors (see below), whose sum is σ = 11559602340. Its totient is φ = 948480000.

The previous prime is 3556800353. The next prime is 3556800371. The reversal of 3556800360 is 630086553.

3556800360 is a `hidden beast` number, since 35 + 568 + 0 + 0 + 3 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3541916196 + 14884164 = 59514^2 + 3858^2 .

It is a super-2 number, since 2×3556800360² = 25301657601792259200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4939641 + ... + 4940360.

Almost surely, 2^3556800360 is an apocalyptic number.

3556800360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3556800360 is an abundant number, since it is smaller than the sum of its proper divisors (8002801980).

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

3556800360 is a wasteful number, since it uses less digits than its factorization.

3556800360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9880018 (or 9880011 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3556800360 is about 59638.9164891516. The cubic root of 3556800360 is about 1526.4637541274.

The spelling of 3556800360 in words is "three billion, five hundred fifty-six million, eight hundred thousand, three hundred sixty".