34609568 has 48 divisors (see below), whose sum is σ = 78269184. Its totient is φ = 14757120.

The previous prime is 34609567. The next prime is 34609573. The reversal of 34609568 is 86590643.

It is not an unprimeable number, because it can be changed into a prime (34609567) 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 7 ways as a sum of consecutive naturals, for example, 81998 + ... + 82418.

It is an arithmetic number, because the mean of its divisors is an integer number (1630608).

Almost surely, 2^34609568 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 34609568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39134592).

34609568 is an abundant number, since it is smaller than the sum of its proper divisors (43659616).

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

34609568 is a wasteful number, since it uses less digits than its factorization.

34609568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 34609568 is about 5882.9897161222. The cubic root of 34609568 is about 325.8857667436.

The spelling of 34609568 in words is "thirty-four million, six hundred nine thousand, five hundred sixty-eight".