349241344 has 51 divisors (see below), whose sum is σ = 708176613. Its totient is φ = 172228608.

The previous prime is 349241339. The next prime is 349241377. The reversal of 349241344 is 443142943.

The square root of 349241344 is 18688.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 198246400 + 150994944 = 14080^2 + 12288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4784092 + ... + 4784164.

Almost surely, 2^349241344 is an apocalyptic number.

349241344 is the 18688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349241344

349241344 is an abundant number, since it is smaller than the sum of its proper divisors (358935269).

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

349241344 is an frugal number, since it uses more digits than its factorization.

349241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 75 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The cubic root of 349241344 is about 704.2203167196.

The spelling of 349241344 in words is "three hundred forty-nine million, two hundred forty-one thousand, three hundred forty-four".