3326974560 has 1080 divisors, whose sum is σ = 15266978496. Its totient is φ = 679311360.

The previous prime is 3326974549. The next prime is 3326974639. The reversal of 3326974560 is 654796233.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×3326974560² = 22137519445774387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 107321745 + ... + 107321775.

Almost surely, 2^3326974560 is an apocalyptic number.

3326974560 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 3326974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7633489248).

3326974560 is an abundant number, since it is smaller than the sum of its proper divisors (11940003936).

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

3326974560 is a wasteful number, since it uses less digits than its factorization.

3326974560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3326974560 is about 57679.9320387949. The cubic root of 3326974560 is about 1492.8511029745.

The spelling of 3326974560 in words is "three billion, three hundred twenty-six million, nine hundred seventy-four thousand, five hundred sixty".