34040 has 32 divisors (see below), whose sum is σ = 82080. Its totient is φ = 12672.

The previous prime is 34039. The next prime is 34057. The reversal of 34040 is 4043.

It is a congruent number.

It is an unprimeable number.

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, 902 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (2565).

2³⁴⁰⁴⁰ is an apocalyptic number.

It is a pronic number, being equal to 184×185.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41040).

34040 is an abundant number, since it is smaller than the sum of its proper divisors (48040).

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

34040 is a wasteful number, since it uses less digits than its factorization.

34040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 34040 is about 184.4993224920. The cubic root of 34040 is about 32.4088173939.

Adding to 34040 its reverse (4043), we get a palindrome (38083).

The spelling of 34040 in words is "thirty-four thousand, forty", and thus it is an eban number.