349016682928 has 40 divisors (see below), whose sum is σ = 704877853680. Its totient is φ = 167204593920.

The previous prime is 349016682869. The next prime is 349016682961. The reversal of 349016682928 is 829286610943.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2810175 + ... + 2931742.

It is an arithmetic number, because the mean of its divisors is an integer number (17621946342).

Almost surely, 2^349016682928 is an apocalyptic number.

It is an amenable number.

349016682928 is an abundant number, since it is smaller than the sum of its proper divisors (355861170752).

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

349016682928 is a wasteful number, since it uses less digits than its factorization.

349016682928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742085 (or 5742079 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 58.

The spelling of 349016682928 in words is "three hundred forty-nine billion, sixteen million, six hundred eighty-two thousand, nine hundred twenty-eight".