346389 has 16 divisors (see below), whose sum is σ = 499200. Its totient is φ = 212976.

The previous prime is 346373. The next prime is 346391. The reversal of 346389 is 983643.

It is not a de Polignac number, because 346389 - 2⁴ = 346373 is a prime.

It is a d-powerful number, because it can be written as 3⁴ + 4⁸ + 3⁵ + 6⁷ + 8³ + 9² .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3312 + ... + 3414.

It is an arithmetic number, because the mean of its divisors is an integer number (31200).

2³⁴⁶³⁸⁹ is an apocalyptic number.

It is an amenable number.

346389 is a deficient number, since it is larger than the sum of its proper divisors (152811).

346389 is a wasteful number, since it uses less digits than its factorization.

346389 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184.

The product of its digits is 15552, while the sum is 33.

The square root of 346389 is about 588.5482138279. The cubic root of 346389 is about 70.2297890635.

The spelling of 346389 in words is "three hundred forty-six thousand, three hundred eighty-nine".