3090179340864 has 672 divisors, whose sum is σ = 11437964009472. Its totient is φ = 774116352000.

The previous prime is 3090179340839. The next prime is 3090179340881. The reversal of 3090179340864 is 4680439710903.

It is a happy number.

3090179340864 is a `hidden beast` number, since 3 + 0 + 9 + 0 + 179 + 3 + 408 + 64 = 666.

3090179340864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3090179340864.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 422094324 + ... + 422101644.

It is an arithmetic number, because the mean of its divisors is an integer number (17020779776).

Almost surely, 2^{3090179340864} 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 3090179340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718982004736).

3090179340864 is an abundant number, since it is smaller than the sum of its proper divisors (8347784668608).

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

3090179340864 is a wasteful number, since it uses less digits than its factorization.

3090179340864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7695 (or 7682 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 3090179340864 in words is "three trillion, ninety billion, one hundred seventy-nine million, three hundred forty thousand, eight hundred sixty-four".