34940 has 12 divisors (see below), whose sum is σ = 73416. Its totient is φ = 13968.

The previous prime is 34939. The next prime is 34949. The reversal of 34940 is 4943.

It is a super-3 number, since 3×34940³ = 127964633352000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 1747 = 34940 / (3 + 4 + 9 + 4 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34949) 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 3 ways as a sum of consecutive naturals, for example, 854 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (6118).

2³⁴⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

34940 is an abundant number, since it is smaller than the sum of its proper divisors (38476).

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 (36708).

34940 is a wasteful number, since it uses less digits than its factorization.

34940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 34940 is about 186.9224438103. The cubic root of 34940 is about 32.6919606032.

The spelling of 34940 in words is "thirty-four thousand, nine hundred forty".