325938816000 has 1232 divisors, whose sum is σ = 1396119504000. Its totient is φ = 74351001600.

The previous prime is 325938815999. The next prime is 325938816037. The reversal of 325938816000 is 618839523.

It is a happy number.

325938816000 is a `hidden beast` number, since 3 + 2 + 5 + 9 + 38 + 8 + 1 + 600 + 0 = 666.

It is a super-4 number, since 4×325938816000⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 653183751 + ... + 653184249.

Almost surely, 2^325938816000 is an apocalyptic number.

325938816000 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 325938816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698059752000).

325938816000 is an abundant number, since it is smaller than the sum of its proper divisors (1070180688000).

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

325938816000 is an frugal number, since it uses more digits than its factorization.

325938816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 516 counting only the distinct ones).

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

The spelling of 325938816000 in words is "three hundred twenty-five billion, nine hundred thirty-eight million, eight hundred sixteen thousand".