3090426614352 has 800 divisors, whose sum is σ = 11264171618304. Its totient is φ = 794663654400.

The previous prime is 3090426614311. The next prime is 3090426614389. The reversal of 3090426614352 is 2534166240903.

3090426614352 is a `hidden beast` number, since 3 + 0 + 9 + 0 + 4 + 26 + 614 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3090426614298 and 3090426614307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6674787273 + ... + 6674787735.

Almost surely, 2^{3090426614352} 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 3090426614352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632085809152).

3090426614352 is an abundant number, since it is smaller than the sum of its proper divisors (8173745003952).

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

3090426614352 is a wasteful number, since it uses less digits than its factorization.

3090426614352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 3090426614352 in words is "three trillion, ninety billion, four hundred twenty-six million, six hundred fourteen thousand, three hundred fifty-two".