34038 has 24 divisors (see below), whose sum is σ = 77376. Its totient is φ = 10800.

The previous prime is 34033. The next prime is 34039. The reversal of 34038 is 83043.

34038 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a d-powerful number, because it can be written as 3 + 4⁵ + 0 + 3⁵ + 8⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 34038.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 528 + ... + 588.

It is an arithmetic number, because the mean of its divisors is an integer number (3224).

2³⁴⁰³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38688).

34038 is an abundant number, since it is smaller than the sum of its proper divisors (43338).

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

34038 is a wasteful number, since it uses less digits than its factorization.

34038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34038 is about 184.4939023383. The cubic root of 34038 is about 32.4081826612.

34038 divided by its sum of digits (18) gives a triangular number (1891 = T₆₁).

It can be divided in two parts, 340 and 38, that added together give a triangular number (378 = T₂₇).

The spelling of 34038 in words is "thirty-four thousand, thirty-eight".