346624 has 20 divisors (see below), whose sum is σ = 693594. Its totient is φ = 173056.

The previous prime is 346607. The next prime is 346627. The reversal of 346624 is 426643.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 160000 = 432^2 + 400^2 .

It is not an unprimeable number, because it can be changed into a prime (346627) by changing a digit.

346624 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174 + ... + 850.

2³⁴⁶⁶²⁴ 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 346624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346797).

346624 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

346624 is an frugal number, since it uses more digits than its factorization.

346624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 679 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The square root of 346624 is about 588.7478237752. The cubic root of 346624 is about 70.2456674253.

The spelling of 346624 in words is "three hundred forty-six thousand, six hundred twenty-four".