325759104 has 384 divisors, whose sum is σ = 1139544000. Its totient is φ = 91238400.

The previous prime is 325759087. The next prime is 325759111. The reversal of 325759104 is 401957523.

325759104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×325759104² = 212237987677765632, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7945324 + ... + 7945364.

Almost surely, 2^325759104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325759104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569772000).

325759104 is an abundant number, since it is smaller than the sum of its proper divisors (813784896).

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

325759104 is a wasteful number, since it uses less digits than its factorization.

325759104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 325759104 is about 18048.7978547049. The cubic root of 325759104 is about 688.0693097652.

The spelling of 325759104 in words is "three hundred twenty-five million, seven hundred fifty-nine thousand, one hundred four".