346864 has 40 divisors (see below), whose sum is σ = 813440. Its totient is φ = 139968.

The previous prime is 346849. The next prime is 346867. The reversal of 346864 is 468643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2047 + ... + 2209.

It is an arithmetic number, because the mean of its divisors is an integer number (20336).

2³⁴⁶⁸⁶⁴ 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 346864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406720).

346864 is an abundant number, since it is smaller than the sum of its proper divisors (466576).

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

346864 is a wasteful number, since it uses less digits than its factorization.

346864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 346864 is about 588.9516109155. The cubic root of 346864 is about 70.2618762189.

The spelling of 346864 in words is "three hundred forty-six thousand, eight hundred sixty-four".