349408896768 has 54 divisors (see below), whose sum is σ = 1007431995024. Its totient is φ = 116469631488.

The previous prime is 349408896751. The next prime is 349408896773. The reversal of 349408896768 is 867698804943.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 349408896696 and 349408896705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75824280 + ... + 75828887.

It is an arithmetic number, because the mean of its divisors is an integer number (18656148056).

Almost surely, 2^349408896768 is an apocalyptic number.

It is an amenable number.

349408896768 is an abundant number, since it is smaller than the sum of its proper divisors (658023098256).

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

349408896768 is a wasteful number, since it uses less digits than its factorization.

349408896768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151653189 (or 151653172 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 349408896768 in words is "three hundred forty-nine billion, four hundred eight million, eight hundred ninety-six thousand, seven hundred sixty-eight".