34140120 has 128 divisors (see below), whose sum is σ = 118540800. Its totient is φ = 7704576.

The previous prime is 34140103. The next prime is 34140179. The reversal of 34140120 is 2104143.

34140120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34140120² = 2331095587228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34140120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81271 + ... + 81689.

It is an arithmetic number, because the mean of its divisors is an integer number (926100).

Almost surely, 2^34140120 is an apocalyptic number.

34140120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59270400).

34140120 is an abundant number, since it is smaller than the sum of its proper divisors (84400680).

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

34140120 is a wasteful number, since it uses less digits than its factorization.

34140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 34140120 is about 5842.9547319828. The cubic root of 34140120 is about 324.4056039004.

Adding to 34140120 its reverse (2104143), we get a palindrome (36244263).

The spelling of 34140120 in words is "thirty-four million, one hundred forty thousand, one hundred twenty".