321334320 has 80 divisors (see below), whose sum is σ = 1009837152. Its totient is φ = 84510720.

The previous prime is 321334301. The next prime is 321334333. The reversal of 321334320 is 23433123.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8350 + ... + 26690.

Almost surely, 2^321334320 is an apocalyptic number.

321334320 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 321334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504918576).

321334320 is an abundant number, since it is smaller than the sum of its proper divisors (688502832).

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

321334320 is a wasteful number, since it uses less digits than its factorization.

321334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18430 (or 18424 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 321334320 is about 17925.8004005400. The cubic root of 321334320 is about 684.9397499710.

Adding to 321334320 its reverse (23433123), we get a palindrome (344767443).

The spelling of 321334320 in words is "three hundred twenty-one million, three hundred thirty-four thousand, three hundred twenty".