34315120 has 80 divisors (see below), whose sum is σ = 94368960. Its totient is φ = 11354112.

The previous prime is 34315117. The next prime is 34315139. The reversal of 34315120 is 2151343.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×34315120² = 2355054921228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15184 + ... + 17296.

It is an arithmetic number, because the mean of its divisors is an integer number (1179612).

Almost surely, 2^34315120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47184480).

34315120 is an abundant number, since it is smaller than the sum of its proper divisors (60053840).

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

34315120 is a wasteful number, since it uses less digits than its factorization.

34315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 34315120 is about 5857.9108904114. The cubic root of 34315120 is about 324.9589533960.

Adding to 34315120 its reverse (2151343), we get a palindrome (36466463).

The spelling of 34315120 in words is "thirty-four million, three hundred fifteen thousand, one hundred twenty".