349833264 has 240 divisors, whose sum is σ = 1076597760. Its totient is φ = 97574400.

The previous prime is 349833247. The next prime is 349833271. The reversal of 349833264 is 462338943.

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, 5221359 + ... + 5221425.

It is an arithmetic number, because the mean of its divisors is an integer number (4485824).

Almost surely, 2^349833264 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 349833264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538298880).

349833264 is an abundant number, since it is smaller than the sum of its proper divisors (726764496).

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

349833264 is a wasteful number, since it uses less digits than its factorization.

349833264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 349833264 is about 18703.8301959786. The cubic root of 349833264 is about 704.6179470120.

The spelling of 349833264 in words is "three hundred forty-nine million, eight hundred thirty-three thousand, two hundred sixty-four".