3879364704300 has 864 divisors, whose sum is σ = 13503860697600. Its totient is φ = 927679979520.

The previous prime is 3879364704197. The next prime is 3879364704343. The reversal of 3879364704300 is 34074639783.

It is a happy number.

3879364704300 is a `hidden beast` number, since 3 + 87 + 9 + 3 + 64 + 70 + 430 + 0 = 666.

3879364704300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5995926577 + ... + 5995927223.

It is an arithmetic number, because the mean of its divisors is an integer number (15629468400).

Almost surely, 2^{3879364704300} is an apocalyptic number.

3879364704300 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 3879364704300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751930348800).

3879364704300 is an abundant number, since it is smaller than the sum of its proper divisors (9624495993300).

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

3879364704300 is a wasteful number, since it uses less digits than its factorization.

3879364704300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 3879364704300 in words is "three trillion, eight hundred seventy-nine billion, three hundred sixty-four million, seven hundred four thousand, three hundred".