349517124 has 72 divisors (see below), whose sum is σ = 965895840. Its totient is φ = 105686400.

The previous prime is 349517117. The next prime is 349517153. The reversal of 349517124 is 421715943.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 319819 + ... + 320909.

It is an arithmetic number, because the mean of its divisors is an integer number (13415220).

Almost surely, 2^349517124 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 349517124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482947920).

349517124 is an abundant number, since it is smaller than the sum of its proper divisors (616378716).

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

349517124 is a wasteful number, since it uses less digits than its factorization.

349517124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1916 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 349517124 is about 18695.3770756302. The cubic root of 349517124 is about 704.4056315314.

The spelling of 349517124 in words is "three hundred forty-nine million, five hundred seventeen thousand, one hundred twenty-four".