34032 has 20 divisors (see below), whose sum is σ = 88040. Its totient is φ = 11328.

The previous prime is 34031. The next prime is 34033. The reversal of 34032 is 23043.

It is an interprime number because it is at equal distance from previous prime (34031) and next prime (34033).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 33999 and 34017.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34032.

It is not an unprimeable number, because it can be changed into a prime (34031) 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, 307 + ... + 402.

It is an arithmetic number, because the mean of its divisors is an integer number (4402).

2³⁴⁰³² is an apocalyptic number.

It is an amenable number.

34032 is an abundant number, since it is smaller than the sum of its proper divisors (54008).

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 (44020).

34032 is a wasteful number, since it uses less digits than its factorization.

34032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 34032 is about 184.4776409216. The cubic root of 34032 is about 32.4062783139.

Adding to 34032 its reverse (23043), we get a palindrome (57075).

The spelling of 34032 in words is "thirty-four thousand, thirty-two", and thus it is an eban number.