325634400 has 648 divisors, whose sum is σ = 1458750384. Its totient is φ = 67737600.

The previous prime is 325634389. The next prime is 325634411. The reversal of 325634400 is 4436523.

325634400 is a `hidden beast` number, since 3 + 25 + 634 + 4 + 0 + 0 = 666.

325634400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (325634389) and next prime (325634411).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4586365 + ... + 4586435.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 2^325634400 is an apocalyptic number.

325634400 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 325634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729375192).

325634400 is an abundant number, since it is smaller than the sum of its proper divisors (1133115984).

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

325634400 is a wasteful number, since it uses less digits than its factorization.

325634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 325634400 is about 18045.3428895103. The cubic root of 325634400 is about 687.9814985109.

It can be divided in two parts, 32563 and 4400, that added together give a palindrome (36963).

The spelling of 325634400 in words is "three hundred twenty-five million, six hundred thirty-four thousand, four hundred".