349893264 has 40 divisors (see below), whose sum is σ = 1033019200. Its totient is φ = 99969408.

The previous prime is 349893263. The next prime is 349893281. The reversal of 349893264 is 462398943.

349893264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (349893263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 520339 + ... + 521010.

It is an arithmetic number, because the mean of its divisors is an integer number (25825480).

Almost surely, 2^349893264 is an apocalyptic number.

It is an amenable number.

349893264 is an abundant number, since it is smaller than the sum of its proper divisors (683125936).

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

349893264 is a wasteful number, since it uses less digits than its factorization.

349893264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041367 (or 1041361 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 349893264 is about 18705.4340767596. The cubic root of 349893264 is about 704.6582277823.

The spelling of 349893264 in words is "three hundred forty-nine million, eight hundred ninety-three thousand, two hundred sixty-four".