349505848764 has 72 divisors (see below), whose sum is σ = 924292841472. Its totient is φ = 111145589280.

The previous prime is 349505848759. The next prime is 349505848799. The reversal of 349505848764 is 467848505943.

349505848764 is a `hidden beast` number, since 3 + 4 + 95 + 0 + 5 + 8 + 487 + 64 = 666.

349505848764 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233932 + ... + 868179.

It is an arithmetic number, because the mean of its divisors is an integer number (12837400576).

Almost surely, 2^349505848764 is an apocalyptic number.

It is an amenable number.

349505848764 is an abundant number, since it is smaller than the sum of its proper divisors (574786992708).

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

349505848764 is a wasteful number, since it uses less digits than its factorization.

349505848764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102527 (or 1102522 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 349505848764 in words is "three hundred forty-nine billion, five hundred five million, eight hundred forty-eight thousand, seven hundred sixty-four".