349584 has 20 divisors (see below), whose sum is σ = 903216. Its totient is φ = 116512.

The previous prime is 349579. The next prime is 349589. The reversal of 349584 is 485943.

It is an interprime number because it is at equal distance from previous prime (349579) and next prime (349589).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 349584.

It is not an unprimeable number, because it can be changed into a prime (349589) by changing a digit.

349584 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3594 + ... + 3689.

2³⁴⁹⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

349584 is an abundant number, since it is smaller than the sum of its proper divisors (553632).

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

349584 is a wasteful number, since it uses less digits than its factorization.

349584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7294 (or 7288 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 349584 is about 591.2562896071. The cubic root of 349584 is about 70.4450555250.

The spelling of 349584 in words is "three hundred forty-nine thousand, five hundred eighty-four".