349542770688 has 576 divisors, whose sum is σ = 1095158937600. Its totient is φ = 111257763840.

The previous prime is 349542770659. The next prime is 349542770713. The reversal of 349542770688 is 886077245943.

349542770688 is a `hidden beast` number, since 3 + 4 + 9 + 542 + 7 + 7 + 0 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2144434095 + ... + 2144434257.

It is an arithmetic number, because the mean of its divisors is an integer number (1901317600).

Almost surely, 2^349542770688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349542770688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547579468800).

349542770688 is an abundant number, since it is smaller than the sum of its proper divisors (745616166912).

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

349542770688 is a wasteful number, since it uses less digits than its factorization.

349542770688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 349542770688 in words is "three hundred forty-nine billion, five hundred forty-two million, seven hundred seventy thousand, six hundred eighty-eight".