349513598560 has 96 divisors (see below), whose sum is σ = 943854472512. Its totient is φ = 119811932160.

The previous prime is 349513598557. The next prime is 349513598561. The reversal of 349513598560 is 65895315943.

It is a junction number, because it is equal to n+sod(n) for n = 349513598495 and 349513598504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349513598561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7090800 + ... + 7139920.

It is an arithmetic number, because the mean of its divisors is an integer number (9831817422).

Almost surely, 2^349513598560 is an apocalyptic number.

It is an amenable number.

349513598560 is an abundant number, since it is smaller than the sum of its proper divisors (594340873952).

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

349513598560 is a wasteful number, since it uses less digits than its factorization.

349513598560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55496 (or 55488 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 58.

The spelling of 349513598560 in words is "three hundred forty-nine billion, five hundred thirteen million, five hundred ninety-eight thousand, five hundred sixty".