34889568 has 72 divisors (see below), whose sum is σ = 106552152. Its totient is φ = 9967104.

The previous prime is 34889537. The next prime is 34889573. The reversal of 34889568 is 86598843.

It is a self number, because there is not a number n which added to its sum of digits gives 34889568.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 996 + ... + 8412.

It is an arithmetic number, because the mean of its divisors is an integer number (1479891).

Almost surely, 2^34889568 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 34889568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53276076).

34889568 is an abundant number, since it is smaller than the sum of its proper divisors (71662584).

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

34889568 is a wasteful number, since it uses less digits than its factorization.

34889568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7444 (or 7429 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 34889568 is about 5906.7392019624. The cubic root of 34889568 is about 326.7622396092.

The spelling of 34889568 in words is "thirty-four million, eight hundred eighty-nine thousand, five hundred sixty-eight".