349113680 has 30 divisors (see below), whose sum is σ = 812078046. Its totient is φ = 139578624.

The previous prime is 349113643. The next prime is 349113691. The reversal of 349113680 is 86311943.

It can be written as a sum of positive squares in 3 ways, for example, as 164044864 + 185068816 = 12808^2 + 13604^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 349113680.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 166076 + ... + 168164.

Almost surely, 2^349113680 is an apocalyptic number.

It is an amenable number.

349113680 is an abundant number, since it is smaller than the sum of its proper divisors (462964366).

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

349113680 is an frugal number, since it uses more digits than its factorization.

349113680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 349113680 is about 18684.5840199882. The cubic root of 349113680 is about 704.1344978049.

It can be divided in two parts, 3491 and 13680, that added together give a palindrome (17171).

The spelling of 349113680 in words is "three hundred forty-nine million, one hundred thirteen thousand, six hundred eighty".