34115904 has 70 divisors (see below), whose sum is σ = 101145594. Its totient is φ = 11370240.

The previous prime is 34115891. The next prime is 34115909. The reversal of 34115904 is 40951143.

It can be written as a sum of positive squares in only one way, i.e., 25401600 + 8714304 = 5040^2 + 2952^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34115909) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1894 + ... + 8474.

Almost surely, 2^34115904 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 34115904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50572797).

34115904 is an abundant number, since it is smaller than the sum of its proper divisors (67029690).

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

34115904 is an equidigital number, since it uses as much as digits as its factorization.

34115904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6605 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 34115904 is about 5840.8821251588. The cubic root of 34115904 is about 324.3288841521.

The spelling of 34115904 in words is "thirty-four million, one hundred fifteen thousand, nine hundred four".