325894934400 has 384 divisors, whose sum is σ = 1259926978560. Its totient is φ = 72476467200.

The previous prime is 325894934383. The next prime is 325894934441. The reversal of 325894934400 is 4439498523.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2420865 + ... + 2551935.

It is an arithmetic number, because the mean of its divisors is an integer number (3281059840).

Almost surely, 2^325894934400 is an apocalyptic number.

325894934400 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 325894934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629963489280).

325894934400 is an abundant number, since it is smaller than the sum of its proper divisors (934032044160).

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

325894934400 is a wasteful number, since it uses less digits than its factorization.

325894934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131142 (or 131125 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 325894934400 in words is "three hundred twenty-five billion, eight hundred ninety-four million, nine hundred thirty-four thousand, four hundred".