34656 has 36 divisors (see below), whose sum is σ = 96012. Its totient is φ = 10944.

The previous prime is 34651. The next prime is 34667. The reversal of 34656 is 65643.

34656 = 58² + 59² + ... + 66².

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (2160) is a multiple of the sum of its prime divisors (24).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34651) by changing a digit.

34656 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 5 ways as a sum of consecutive naturals, for example, 1815 + ... + 1833.

It is an arithmetic number, because the mean of its divisors is an integer number (2667).

2³⁴⁶⁵⁶ 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 34656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48006).

34656 is an abundant number, since it is smaller than the sum of its proper divisors (61356).

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

34656 is a wasteful number, since it uses less digits than its factorization.

34656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 24 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 34656 is about 186.1612204515. The cubic root of 34656 is about 32.6031437118.

Multiplying 34656 by its sum of digits (24), we get a square (831744 = 912²).

34656 divided by its sum of digits (24) gives a square (1444 = 38²).

The spelling of 34656 in words is "thirty-four thousand, six hundred fifty-six".