349189785216 has 128 divisors (see below), whose sum is σ = 1032093364800. Its totient is φ = 116227353600.

The previous prime is 349189785209. The next prime is 349189785239. The reversal of 349189785216 is 612587981943.

349189785216 is a `hidden beast` number, since 3 + 4 + 9 + 18 + 97 + 8 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2314986 + ... + 2461206.

Almost surely, 2^349189785216 is an apocalyptic number.

349189785216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349189785216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516046682400).

349189785216 is an abundant number, since it is smaller than the sum of its proper divisors (682903579584).

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

349189785216 is a wasteful number, since it uses less digits than its factorization.

349189785216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146935 (or 146917 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 349189785216 in words is "three hundred forty-nine billion, one hundred eighty-nine million, seven hundred eighty-five thousand, two hundred sixteen".