349303164 has 72 divisors (see below), whose sum is σ = 978743808. Its totient is φ = 96576480.

The previous prime is 349303153. The next prime is 349303169. The reversal of 349303164 is 461303943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349303169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8647 + ... + 27809.

It is an arithmetic number, because the mean of its divisors is an integer number (13593664).

Almost surely, 2^349303164 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 349303164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489371904).

349303164 is an abundant number, since it is smaller than the sum of its proper divisors (629440644).

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

349303164 is a wasteful number, since it uses less digits than its factorization.

349303164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19215 (or 19206 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 349303164 is about 18689.6539293803. The cubic root of 349303164 is about 704.2618661450.

The spelling of 349303164 in words is "three hundred forty-nine million, three hundred three thousand, one hundred sixty-four".