349312320 has 168 divisors, whose sum is σ = 1373209344. Its totient is φ = 79838208.

The previous prime is 349312297. The next prime is 349312363. The reversal of 349312320 is 23213943.

It is a happy number.

349312320 is a `hidden beast` number, since 349 + 312 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

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, 11497 + ... + 28823.

Almost surely, 2^349312320 is an apocalyptic number.

349312320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686604672).

349312320 is an abundant number, since it is smaller than the sum of its proper divisors (1023897024).

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

349312320 is a wasteful number, since it uses less digits than its factorization.

349312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17357 (or 17344 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 349312320 is about 18689.8988761309. The cubic root of 349312320 is about 704.2680195059.

The spelling of 349312320 in words is "three hundred forty-nine million, three hundred twelve thousand, three hundred twenty".