349416847681368 has 64 divisors (see below), whose sum is σ = 905590944460800. Its totient is φ = 112231356253440.

The previous prime is 349416847681283. The next prime is 349416847681381. The reversal of 349416847681368 is 863186748614943.

It is a junction number, because it is equal to n+sod(n) for n = 349416847681293 and 349416847681302.

It is a congruent number.

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, 1007651328 + ... + 1007998031.

It is an arithmetic number, because the mean of its divisors is an integer number (14149858507200).

Almost surely, 2^{349416847681368} is an apocalyptic number.

It is an amenable number.

349416847681368 is an abundant number, since it is smaller than the sum of its proper divisors (556174096779432).

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

349416847681368 is a wasteful number, since it uses less digits than its factorization.

349416847681368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015649632 (or 2015649628 counting only the distinct ones).

The product of its digits is 4013162496, while the sum is 78.

The spelling of 349416847681368 in words is "three hundred forty-nine trillion, four hundred sixteen billion, eight hundred forty-seven million, six hundred eighty-one thousand, three hundred sixty-eight".