3390795014688 has 480 divisors, whose sum is σ = 10327040317440. Its totient is φ = 1090765025280.

The previous prime is 3390795014639. The next prime is 3390795014693. The reversal of 3390795014688 is 8864105970933.

3390795014688 is a `hidden beast` number, since 3 + 3 + 9 + 0 + 7 + 9 + 501 + 46 + 88 = 666.

It is a super-2 number, since 2×3390795014688² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5959217668 + ... + 5959218236.

It is an arithmetic number, because the mean of its divisors is an integer number (21514667328).

Almost surely, 2^{3390795014688} 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 3390795014688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163520158720).

3390795014688 is an abundant number, since it is smaller than the sum of its proper divisors (6936245302752).

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

3390795014688 is a wasteful number, since it uses less digits than its factorization.

3390795014688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 3390795014688 in words is "three trillion, three hundred ninety billion, seven hundred ninety-five million, fourteen thousand, six hundred eighty-eight".