346656 has 48 divisors (see below), whose sum is σ = 955584. Its totient is φ = 109824.

The previous prime is 346651. The next prime is 346657. The reversal of 346656 is 656643.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (346651) 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, 2130 + ... + 2286.

It is an arithmetic number, because the mean of its divisors is an integer number (19908).

346656 is a Friedman number, since it can be written as 6^6+(6+4)^5*3, using all its digits and the basic arithmetic operations.

2³⁴⁶⁶⁵⁶ 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 346656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477792).

346656 is an abundant number, since it is smaller than the sum of its proper divisors (608928).

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

346656 is a wasteful number, since it uses less digits than its factorization.

346656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 346656 is about 588.7749994692. The cubic root of 346656 is about 70.2478290300.

The spelling of 346656 in words is "three hundred forty-six thousand, six hundred fifty-six".