34113120 has 48 divisors (see below), whose sum is σ = 107457840. Its totient is φ = 9096704.

The previous prime is 34113109. The next prime is 34113127. The reversal of 34113120 is 2131143.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×34113120² = 2327409912268800, 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 34113120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34113127) 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, 35055 + ... + 36014.

It is an arithmetic number, because the mean of its divisors is an integer number (2238705).

Almost surely, 2^34113120 is an apocalyptic number.

34113120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34113120 is an abundant number, since it is smaller than the sum of its proper divisors (73344720).

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

34113120 is a wasteful number, since it uses less digits than its factorization.

34113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71087 (or 71079 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 34113120 is about 5840.6438001303. The cubic root of 34113120 is about 324.3200617157.

Adding to 34113120 its reverse (2131143), we get a palindrome (36244263).

The spelling of 34113120 in words is "thirty-four million, one hundred thirteen thousand, one hundred twenty".