349330645764 has 27 divisors (see below), whose sum is σ = 883039207687. Its totient is φ = 116442366504.

The previous prime is 349330645751. The next prime is 349330645799. The reversal of 349330645764 is 467546033943.

It is a happy number.

The square root of 349330645764 is 591042.

It is a perfect power (a square), and thus also a powerful number.

349330645764 is a `hidden beast` number, since 3 + 4 + 9 + 3 + 3 + 0 + 64 + 576 + 4 = 666.

It is a super-2 number, since 2×349330645764² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 349330645764.

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 8 ways as a sum of consecutive naturals, for example, 3496999 + ... + 3595505.

Almost surely, 2^349330645764 is an apocalyptic number.

349330645764 is the 591042-nd square number.

It is an amenable number.

349330645764 is an abundant number, since it is smaller than the sum of its proper divisors (533708561923).

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

349330645764 is an frugal number, since it uses more digits than its factorization.

349330645764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197024 (or 98512 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 349330645764 in words is "three hundred forty-nine billion, three hundred thirty million, six hundred forty-five thousand, seven hundred sixty-four".