349344 has 36 divisors (see below), whose sum is σ = 994266. Its totient is φ = 116352.

The previous prime is 349343. The next prime is 349357. The reversal of 349344 is 443943.

It can be written as a sum of positive squares in only one way, i.e., 345744 + 3600 = 588^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (349343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 319 + ... + 894.

2³⁴⁹³⁴⁴ is an apocalyptic number.

It is an amenable number.

349344 is an abundant number, since it is smaller than the sum of its proper divisors (644922).

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

349344 is a wasteful number, since it uses less digits than its factorization.

349344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1218 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 349344 is about 591.0532970892. The cubic root of 349344 is about 70.4289309466.

The spelling of 349344 in words is "three hundred forty-nine thousand, three hundred forty-four".