325938816 has 224 divisors, whose sum is σ = 1114860000. Its totient is φ = 92938752.

The previous prime is 325938803. The next prime is 325938857. The reversal of 325938816 is 618839523.

It is a happy number.

325938816 is a `hidden beast` number, since 3 + 259 + 388 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-4 number, since 4×325938816⁴ (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 652935 + ... + 653433.

Almost surely, 2^325938816 is an apocalyptic number.

325938816 is a gapful number since it is divisible by the number (36) 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 325938816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557430000).

325938816 is an abundant number, since it is smaller than the sum of its proper divisors (788921184).

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

325938816 is an frugal number, since it uses more digits than its factorization.

325938816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 511 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 325938816 is about 18053.7756715874. The cubic root of 325938816 is about 688.1958159047.

The spelling of 325938816 in words is "three hundred twenty-five million, nine hundred thirty-eight thousand, eight hundred sixteen".