321974016 has 288 divisors, whose sum is σ = 1120831488. Its totient is φ = 79626240.

The previous prime is 321973957. The next prime is 321974039. The reversal of 321974016 is 610479123.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1187961 + ... + 1188231.

It is an arithmetic number, because the mean of its divisors is an integer number (3891776).

Almost surely, 2^321974016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560415744).

321974016 is an abundant number, since it is smaller than the sum of its proper divisors (798857472).

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

321974016 is a wasteful number, since it uses less digits than its factorization.

321974016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 321974016 is about 17943.6344144658. The cubic root of 321974016 is about 685.3939630871.

The spelling of 321974016 in words is "three hundred twenty-one million, nine hundred seventy-four thousand, sixteen".