321952320 has 140 divisors (see below), whose sum is σ = 1145333244. Its totient is φ = 85847040.

The previous prime is 321952313. The next prime is 321952331. The reversal of 321952320 is 23259123.

321952320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 232989696 + 88962624 = 15264^2 + 9432^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19710 + ... + 32130.

Almost surely, 2^321952320 is an apocalyptic number.

321952320 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 321952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572666622).

321952320 is an abundant number, since it is smaller than the sum of its proper divisors (823380924).

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

321952320 is a wasteful number, since it uses less digits than its factorization.

321952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12450 (or 12431 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 321952320 is about 17943.0298444828. The cubic root of 321952320 is about 685.3785678060.

The spelling of 321952320 in words is "three hundred twenty-one million, nine hundred fifty-two thousand, three hundred twenty".