3879556800 has 672 divisors, whose sum is σ = 15722803200. Its totient is φ = 817827840.

The previous prime is 3879556799. The next prime is 3879556823. The reversal of 3879556800 is 86559783.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37665549 + ... + 37665651.

Almost surely, 2^3879556800 is an apocalyptic number.

3879556800 is a gapful number since it is divisible by the number (30) 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 3879556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861401600).

3879556800 is an abundant number, since it is smaller than the sum of its proper divisors (11843246400).

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

3879556800 is a wasteful number, since it uses less digits than its factorization.

3879556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 3879556800 is about 62286.0883343945. The cubic root of 3879556800 is about 1571.3057686011.

The spelling of 3879556800 in words is "three billion, eight hundred seventy-nine million, five hundred fifty-six thousand, eight hundred".