34140 has 24 divisors (see below), whose sum is σ = 95760. Its totient is φ = 9088.

The previous prime is 34129. The next prime is 34141. The reversal of 34140 is 4143.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34141) by changing a digit.

34140 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 225 + ... + 344.

It is an arithmetic number, because the mean of its divisors is an integer number (3990).

2³⁴¹⁴⁰ is an apocalyptic number.

34140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34140 is an abundant number, since it is smaller than the sum of its proper divisors (61620).

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 (47880).

34140 is a wasteful number, since it uses less digits than its factorization.

34140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 34140 is about 184.7701274557. The cubic root of 34140 is about 32.4405223813.

Adding to 34140 its reverse (4143), we get a palindrome (38283).

The spelling of 34140 in words is "thirty-four thousand, one hundred forty".