34966568 has 64 divisors (see below), whose sum is σ = 82642560. Its totient is φ = 13499136.

The previous prime is 34966567. The next prime is 34966571. The reversal of 34966568 is 86566943.

It is not an unprimeable number, because it can be changed into a prime (34966567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30746 + ... + 31862.

It is an arithmetic number, because the mean of its divisors is an integer number (1291290).

Almost surely, 2^34966568 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 34966568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41321280).

34966568 is an abundant number, since it is smaller than the sum of its proper divisors (47675992).

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

34966568 is a wasteful number, since it uses less digits than its factorization.

34966568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1182 counting only the distinct ones).

The product of its digits is 933120, while the sum is 47.

The square root of 34966568 is about 5913.2535883387. The cubic root of 34966568 is about 327.0024470883.

The spelling of 34966568 in words is "thirty-four million, nine hundred sixty-six thousand, five hundred sixty-eight".