321984972 has 108 divisors (see below), whose sum is σ = 865316088. Its totient is φ = 100886400.

The previous prime is 321984967. The next prime is 321984979. The reversal of 321984972 is 279489123.

It is not an unprimeable number, because it can be changed into a prime (321984979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1418323 + ... + 1418549.

It is an arithmetic number, because the mean of its divisors is an integer number (8012186).

Almost surely, 2^321984972 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 321984972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432658044).

321984972 is an abundant number, since it is smaller than the sum of its proper divisors (543331116).

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

321984972 is a wasteful number, since it uses less digits than its factorization.

321984972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 304 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 321984972 is about 17943.9397011916. The cubic root of 321984972 is about 685.4017371007.

The spelling of 321984972 in words is "three hundred twenty-one million, nine hundred eighty-four thousand, nine hundred seventy-two".