34684 has 24 divisors (see below), whose sum is σ = 70560. Its totient is φ = 14784.

The previous prime is 34679. The next prime is 34687. The reversal of 34684 is 48643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34687) by changing a digit.

34684 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 7 ways as a sum of consecutive naturals, for example, 1182 + ... + 1210.

It is an arithmetic number, because the mean of its divisors is an integer number (2940).

2³⁴⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

34684 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.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35280).

34684 is a wasteful number, since it uses less digits than its factorization.

34684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 67 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 34684 is about 186.2364089001. The cubic root of 34684 is about 32.6119218193.

The spelling of 34684 in words is "thirty-four thousand, six hundred eighty-four".