349224 has 16 divisors (see below), whose sum is σ = 873120. Its totient is φ = 116400.

The previous prime is 349211. The next prime is 349241. The reversal of 349224 is 422943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 14551 = 349224 / (3 + 4 + 9 + 2 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 349194 and 349203.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 349224.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 7252 + ... + 7299.

It is an arithmetic number, because the mean of its divisors is an integer number (54570).

2³⁴⁹²²⁴ is an apocalyptic number.

It is an amenable number.

349224 is an abundant number, since it is smaller than the sum of its proper divisors (523896).

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

349224 is a wasteful number, since it uses less digits than its factorization.

349224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14560 (or 14556 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 349224 is about 590.9517746822. The cubic root of 349224 is about 70.4208658879.

The spelling of 349224 in words is "three hundred forty-nine thousand, two hundred twenty-four".