349337793 has 16 divisors (see below), whose sum is σ = 543651840. Its totient is φ = 195373776.

The previous prime is 349337759. The next prime is 349337803. The reversal of 349337793 is 397733943.

It is not a de Polignac number, because 349337793 - 2²⁴ = 332560577 is a prime.

It is a super-2 number, since 2×349337793² = 244073787236221698, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (349337713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175983 + ... + 177956.

It is an arithmetic number, because the mean of its divisors is an integer number (33978240).

Almost surely, 2^349337793 is an apocalyptic number.

It is an amenable number.

349337793 is a deficient number, since it is larger than the sum of its proper divisors (194314047).

349337793 is a wasteful number, since it uses less digits than its factorization.

349337793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353996.

The product of its digits is 1285956, while the sum is 48.

The square root of 349337793 is about 18690.5803280690. The cubic root of 349337793 is about 704.2851382677.

The spelling of 349337793 in words is "three hundred forty-nine million, three hundred thirty-seven thousand, seven hundred ninety-three".