3312572307456 has 96 divisors (see below), whose sum is σ = 8835759616320. Its totient is φ = 1103641878528.

The previous prime is 3312572307419. The next prime is 3312572307493. The reversal of 3312572307456 is 6547032752133.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3312572307419) and next prime (3312572307493).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12320895 + ... + 12586881.

It is an arithmetic number, because the mean of its divisors is an integer number (92039162670).

Almost surely, 2^{3312572307456} 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 3312572307456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4417879808160).

3312572307456 is an abundant number, since it is smaller than the sum of its proper divisors (5523187308864).

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

3312572307456 is a wasteful number, since it uses less digits than its factorization.

3312572307456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268039 (or 268019 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 48.

The spelling of 3312572307456 in words is "three trillion, three hundred twelve billion, five hundred seventy-two million, three hundred seven thousand, four hundred fifty-six".