349680835200 has 96 divisors (see below), whose sum is σ = 1151761282560. Its totient is φ = 93248220160.

The previous prime is 349680835159. The next prime is 349680835247. The reversal of 349680835200 is 2538086943.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 349680835200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18202944 + ... + 18222143.

It is an arithmetic number, because the mean of its divisors is an integer number (11997513360).

Almost surely, 2^349680835200 is an apocalyptic number.

349680835200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349680835200 is an abundant number, since it is smaller than the sum of its proper divisors (802080447360).

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

349680835200 is a wasteful number, since it uses less digits than its factorization.

349680835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36425114 (or 36425097 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 349680835200 in words is "three hundred forty-nine billion, six hundred eighty million, eight hundred thirty-five thousand, two hundred".