349275264 has 256 divisors, whose sum is σ = 1076597760. Its totient is φ = 99532800.

The previous prime is 349275257. The next prime is 349275293. The reversal of 349275264 is 462572943.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5725794 + ... + 5725854.

It is an arithmetic number, because the mean of its divisors is an integer number (4205460).

Almost surely, 2^349275264 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 349275264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538298880).

349275264 is an abundant number, since it is smaller than the sum of its proper divisors (727322496).

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

349275264 is a wasteful number, since it uses less digits than its factorization.

349275264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 349275264 is about 18688.9075122116. The cubic root of 349275264 is about 704.2431150703.

The spelling of 349275264 in words is "three hundred forty-nine million, two hundred seventy-five thousand, two hundred sixty-four".