325785600 has 432 divisors, whose sum is σ = 1346632560. Its totient is φ = 73728000.

The previous prime is 325785553. The next prime is 325785613. The reversal of 325785600 is 6587523.

325785600 is a `hidden beast` number, since 3 + 25 + 78 + 560 + 0 = 666.

It is a super-2 number, since 2×325785600² = 212272514334720000, 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3225550 + ... + 3225650.

It is an arithmetic number, because the mean of its divisors is an integer number (3117205).

Almost surely, 2^325785600 is an apocalyptic number.

325785600 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 325785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673316280).

325785600 is an abundant number, since it is smaller than the sum of its proper divisors (1020846960).

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

325785600 is a wasteful number, since it uses less digits than its factorization.

325785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 325785600 is about 18049.5318498846. The cubic root of 325785600 is about 688.0879642351.

The spelling of 325785600 in words is "three hundred twenty-five million, seven hundred eighty-five thousand, six hundred".