3395457478656 has 78 divisors (see below), whose sum is σ = 9807902089440. Its totient is φ = 1131819147264.

The previous prime is 3395457478613. The next prime is 3395457478703. The reversal of 3395457478656 is 6568747545933.

It is a happy number.

3395457478656 is a `hidden beast` number, since 3 + 3 + 9 + 5 + 457 + 47 + 86 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46016976 + ... + 46090703.

It is an arithmetic number, because the mean of its divisors is an integer number (125742334480).

Almost surely, 2^{3395457478656} is an apocalyptic number.

3395457478656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3395457478656 is an abundant number, since it is smaller than the sum of its proper divisors (6412444610784).

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

3395457478656 is an equidigital number, since it uses as much as digits as its factorization.

3395457478656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92107709 (or 92107684 counting only the distinct ones).

The product of its digits is 2286144000, while the sum is 72.

The spelling of 3395457478656 in words is "three trillion, three hundred ninety-five billion, four hundred fifty-seven million, four hundred seventy-eight thousand, six hundred fifty-six".