34289968 has 40 divisors (see below), whose sum is σ = 69102720. Its totient is φ = 16465920.

The previous prime is 34289953. The next prime is 34289971. The reversal of 34289968 is 86998243.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127338 + ... + 127606.

It is an arithmetic number, because the mean of its divisors is an integer number (1727568).

Almost surely, 2^34289968 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 34289968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34551360).

34289968 is an abundant number, since it is smaller than the sum of its proper divisors (34812752).

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

34289968 is a wasteful number, since it uses less digits than its factorization.

34289968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 559 counting only the distinct ones).

The product of its digits is 746496, while the sum is 49.

The square root of 34289968 is about 5855.7636564329. The cubic root of 34289968 is about 324.8795387885.

The spelling of 34289968 in words is "thirty-four million, two hundred eighty-nine thousand, nine hundred sixty-eight".