3312691810560 has 1440 divisors, whose sum is σ = 13785436127232. Its totient is φ = 751536783360.

The previous prime is 3312691810403. The next prime is 3312691810573. The reversal of 3312691810560 is 650181962133.

3312691810560 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 6 + 9 + 1 + 81 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1232857537 + ... + 1232860223.

Almost surely, 2^{3312691810560} is an apocalyptic number.

3312691810560 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 3312691810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6892718063616).

3312691810560 is an abundant number, since it is smaller than the sum of its proper divisors (10472744316672).

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

3312691810560 is a wasteful number, since it uses less digits than its factorization.

3312691810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 3312691810560 in words is "three trillion, three hundred twelve billion, six hundred ninety-one million, eight hundred ten thousand, five hundred sixty".