34764 has 12 divisors (see below), whose sum is σ = 81144. Its totient is φ = 11584.

The previous prime is 34763. The next prime is 34781. The reversal of 34764 is 46743.

34764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34764.

It is not an unprimeable number, because it can be changed into a prime (34763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1437 + ... + 1460.

It is an arithmetic number, because the mean of its divisors is an integer number (6762).

2³⁴⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

34764 is an abundant number, since it is smaller than the sum of its proper divisors (46380).

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 (40572).

34764 is a wasteful number, since it uses less digits than its factorization.

34764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2902 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 34764 is about 186.4510659664. The cubic root of 34764 is about 32.6369761232.

The spelling of 34764 in words is "thirty-four thousand, seven hundred sixty-four".