3321394560 has 768 divisors, whose sum is σ = 13747968000. Its totient is φ = 729907200.

The previous prime is 3321394553. The next prime is 3321394607. The reversal of 3321394560 is 654931233.

It is a happy number.

3321394560 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 3 + 94 + 560 = 666.

It is a super-2 number, since 2×3321394560² = 22063323646395187200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37318996 + ... + 37319084.

It is an arithmetic number, because the mean of its divisors is an integer number (17901000).

Almost surely, 2^3321394560 is an apocalyptic number.

3321394560 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 3321394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6873984000).

3321394560 is an abundant number, since it is smaller than the sum of its proper divisors (10426573440).

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

3321394560 is a wasteful number, since it uses less digits than its factorization.

3321394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3321394560 is about 57631.5413640829. The cubic root of 3321394560 is about 1492.0160329097.

The spelling of 3321394560 in words is "three billion, three hundred twenty-one million, three hundred ninety-four thousand, five hundred sixty".