321744096 has 96 divisors (see below), whose sum is σ = 970855200. Its totient is φ = 103541760.

The previous prime is 321744083. The next prime is 321744121. The reversal of 321744096 is 690447123.

321744096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 321744096.

It is a congruent number.

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, 18636 + ... + 31476.

It is an arithmetic number, because the mean of its divisors is an integer number (10113075).

Almost surely, 2^321744096 is an apocalyptic number.

321744096 is a gapful number since it is divisible by the number (36) 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 321744096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485427600).

321744096 is an abundant number, since it is smaller than the sum of its proper divisors (649111104).

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

321744096 is a wasteful number, since it uses less digits than its factorization.

321744096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12889 (or 12875 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 321744096 is about 17937.2265414696. The cubic root of 321744096 is about 685.2307787954.

The spelling of 321744096 in words is "three hundred twenty-one million, seven hundred forty-four thousand, ninety-six".