325978934400 has 576 divisors, whose sum is σ = 1334498068800. Its totient is φ = 74220134400.

The previous prime is 325978934383. The next prime is 325978934431. The reversal of 325978934400 is 4439879523.

325978934400 is a `hidden beast` number, since 3 + 2 + 597 + 8 + 9 + 3 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54227395 + ... + 54233405.

It is an arithmetic number, because the mean of its divisors is an integer number (2316836925).

Almost surely, 2^325978934400 is an apocalyptic number.

325978934400 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 325978934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667249034400).

325978934400 is an abundant number, since it is smaller than the sum of its proper divisors (1008519134400).

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

325978934400 is a wasteful number, since it uses less digits than its factorization.

325978934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6317 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 325978934400 in words is "three hundred twenty-five billion, nine hundred seventy-eight million, nine hundred thirty-four thousand, four hundred".