34938 has 16 divisors (see below), whose sum is σ = 77760. Its totient is φ = 11628.

The previous prime is 34919. The next prime is 34939. The reversal of 34938 is 83943.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270 + ... + 377.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2³⁴⁹³⁸ is an apocalyptic number.

34938 is an abundant number, since it is smaller than the sum of its proper divisors (42822).

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 (38880).

34938 is a wasteful number, since it uses less digits than its factorization.

34938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 652 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 34938 is about 186.9170939213. The cubic root of 34938 is about 32.6913368179.

The spelling of 34938 in words is "thirty-four thousand, nine hundred thirty-eight".