3321398304 has 288 divisors, whose sum is σ = 11483821440. Its totient is φ = 914844672.

The previous prime is 3321398287. The next prime is 3321398317. The reversal of 3321398304 is 4038931233.

3321398304 is a `hidden beast` number, since 332 + 13 + 9 + 8 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3321398304² = 22063373387628152832, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5086042 + ... + 5086694.

It is an arithmetic number, because the mean of its divisors is an integer number (39874380).

Almost surely, 2^3321398304 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 3321398304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741910720).

3321398304 is an abundant number, since it is smaller than the sum of its proper divisors (8162423136).

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

3321398304 is a wasteful number, since it uses less digits than its factorization.

3321398304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3321398304 is about 57631.5738462867. The cubic root of 3321398304 is about 1492.0165935282.

The spelling of 3321398304 in words is "three billion, three hundred twenty-one million, three hundred ninety-eight thousand, three hundred four".