349801164 has 72 divisors (see below), whose sum is σ = 897143520. Its totient is φ = 114912000.

The previous prime is 349801159. The next prime is 349801183. The reversal of 349801164 is 461108943.

349801164 is a `hidden beast` number, since 3 + 498 + 0 + 1 + 164 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244704 + ... + 1244984.

Almost surely, 2^349801164 is an apocalyptic number.

It is an amenable number.

349801164 is an abundant number, since it is smaller than the sum of its proper divisors (547342356).

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

349801164 is a wasteful number, since it uses less digits than its factorization.

349801164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 349801164 is about 18702.9720632845. The cubic root of 349801164 is about 704.5963949087.

The spelling of 349801164 in words is "three hundred forty-nine million, eight hundred one thousand, one hundred sixty-four".