349915392 has 108 divisors (see below), whose sum is σ = 1043881020. Its totient is φ = 112594944.

The previous prime is 349915387. The next prime is 349915393. The reversal of 349915392 is 293519943.

349915392 is a `hidden beast` number, since 3 + 499 + 153 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 246364416 + 103550976 = 15696^2 + 10176^2 .

It is not an unprimeable number, because it can be changed into a prime (349915393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64198 + ... + 69434.

It is an arithmetic number, because the mean of its divisors is an integer number (9665565).

Almost surely, 2^349915392 is an apocalyptic number.

349915392 is a gapful number since it is divisible by the number (32) 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 349915392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521940510).

349915392 is an abundant number, since it is smaller than the sum of its proper divisors (693965628).

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

349915392 is a wasteful number, since it uses less digits than its factorization.

349915392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5288 (or 5271 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 349915392 is about 18706.0255532810. The cubic root of 349915392 is about 704.6730821681.

The spelling of 349915392 in words is "three hundred forty-nine million, nine hundred fifteen thousand, three hundred ninety-two".