3350755664928 has 1080 divisors, whose sum is σ = 12229412901552. Its totient is φ = 897179576832.

The previous prime is 3350755664899. The next prime is 3350755664941. The reversal of 3350755664928 is 8294665570533.

It is a happy number.

3350755664928 is a `hidden beast` number, since 3 + 3 + 5 + 0 + 7 + 5 + 566 + 49 + 28 = 666.

It is a super-2 number, since 2×3350755664928² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 4905937675 + ... + 4905938357.

Almost surely, 2^{3350755664928} is an apocalyptic number.

3350755664928 is a gapful number since it is divisible by the number (38) 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 3350755664928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114706450776).

3350755664928 is an abundant number, since it is smaller than the sum of its proper divisors (8878657236624).

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

3350755664928 is a wasteful number, since it uses less digits than its factorization.

3350755664928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 3350755664928 in words is "three trillion, three hundred fifty billion, seven hundred fifty-five million, six hundred sixty-four thousand, nine hundred twenty-eight".