34015368 has 64 divisors (see below), whose sum is σ = 90668160. Its totient is φ = 10597376.

The previous prime is 34015361. The next prime is 34015391. The reversal of 34015368 is 86351043.

It is not an unprimeable number, because it can be changed into a prime (34015361) 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 15 ways as a sum of consecutive naturals, for example, 107146 + ... + 107462.

It is an arithmetic number, because the mean of its divisors is an integer number (1416690).

Almost surely, 2^34015368 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 34015368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45334080).

34015368 is an abundant number, since it is smaller than the sum of its proper divisors (56652792).

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

34015368 is a wasteful number, since it uses less digits than its factorization.

34015368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 34015368 is about 5832.2695410963. The cubic root of 34015368 is about 324.0099829267.

The spelling of 34015368 in words is "thirty-four million, fifteen thousand, three hundred sixty-eight".