349931344 has 50 divisors (see below), whose sum is σ = 791030410. Its totient is φ = 149954112.

The previous prime is 349931339. The next prime is 349931359. The reversal of 349931344 is 443139943.

It can be written as a sum of positive squares in only one way, i.e., 233722944 + 116208400 = 15288^2 + 10780^2 .

It is a junction number, because it is equal to n+sod(n) for n = 349931297 and 349931306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 33862 + ... + 42970.

Almost surely, 2^349931344 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 349931344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395515205).

349931344 is an abundant number, since it is smaller than the sum of its proper divisors (441099066).

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

349931344 is an frugal number, since it uses more digits than its factorization.

349931344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9145 (or 9118 counting only the distinct ones).

The product of its digits is 139968, while the sum is 40.

The square root of 349931344 is about 18706.4519350945. The cubic root of 349931344 is about 704.6837902558.

It can be divided in two parts, 3499 and 31344, that added together give a palindrome (34843).

The spelling of 349931344 in words is "three hundred forty-nine million, nine hundred thirty-one thousand, three hundred forty-four".