3490792145568 has 1344 divisors, whose sum is σ = 13305101241600. Its totient is φ = 894778472448.

The previous prime is 3490792145539. The next prime is 3490792145573. The reversal of 3490792145568 is 8655412970943.

3490792145568 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 7 + 9 + 21 + 45 + 568 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3848722971 + ... + 3848723877.

It is an arithmetic number, because the mean of its divisors is an integer number (9899628900).

It is a 1-persistent number, because it is pandigital, but 2⋅3490792145568 = 6981584291136 is not.

Almost surely, 2^{3490792145568} 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 3490792145568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652550620800).

3490792145568 is an abundant number, since it is smaller than the sum of its proper divisors (9814309096032).

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

3490792145568 is an equidigital number, since it uses as much as digits as its factorization.

3490792145568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 3490792145568 in words is "three trillion, four hundred ninety billion, seven hundred ninety-two million, one hundred forty-five thousand, five hundred sixty-eight".