3331560960 has 720 divisors, whose sum is σ = 14518039536. Its totient is φ = 699826176.

The previous prime is 3331560959. The next prime is 3331561007. The reversal of 3331560960 is 690651333.

3331560960 is a `hidden beast` number, since 3 + 3 + 3 + 1 + 560 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3331560960² = 22198596860392243200, 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 71 ways as a sum of consecutive naturals, for example, 14676367 + ... + 14676593.

Almost surely, 2^3331560960 is an apocalyptic number.

3331560960 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 3331560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7259019768).

3331560960 is an abundant number, since it is smaller than the sum of its proper divisors (11186478576).

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

3331560960 is a wasteful number, since it uses less digits than its factorization.

3331560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 3331560960 is about 57719.6756747645. The cubic root of 3331560960 is about 1493.5367778380.

The spelling of 3331560960 in words is "three billion, three hundred thirty-one million, five hundred sixty thousand, nine hundred sixty".