34115360 has 48 divisors (see below), whose sum is σ = 81648000. Its totient is φ = 13468416.

The previous prime is 34115359. The next prime is 34115363. The reversal of 34115360 is 6351143.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34115363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11291 + ... + 13989.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^34115360 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 34115360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40824000).

34115360 is an abundant number, since it is smaller than the sum of its proper divisors (47532640).

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

34115360 is a wasteful number, since it uses less digits than its factorization.

34115360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 34115360 is about 5840.8355566648. The cubic root of 34115360 is about 324.3271602655.

The spelling of 34115360 in words is "thirty-four million, one hundred fifteen thousand, three hundred sixty".