349369682702688 has 72 divisors (see below), whose sum is σ = 993521992147776. Its totient is φ = 116456331513600.

The previous prime is 349369682702687. The next prime is 349369682702699. The reversal of 349369682702688 is 886207286963943.

349369682702688 is a `hidden beast` number, since 3 + 493 + 6 + 9 + 6 + 8 + 27 + 0 + 26 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349369682702687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209935633 + ... + 211593263.

It is an arithmetic number, because the mean of its divisors is an integer number (13798916557608).

Almost surely, 2^{349369682702688} is an apocalyptic number.

It is an amenable number.

349369682702688 is an abundant number, since it is smaller than the sum of its proper divisors (644152309445088).

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

349369682702688 is a wasteful number, since it uses less digits than its factorization.

349369682702688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389468 (or 2389457 counting only the distinct ones).

The product of its (nonzero) digits is 9029615616, while the sum is 81.

The spelling of 349369682702688 in words is "three hundred forty-nine trillion, three hundred sixty-nine billion, six hundred eighty-two million, seven hundred two thousand, six hundred eighty-eight".