34109568 has 96 divisors (see below), whose sum is σ = 101637900. Its totient is φ = 10967040.

The previous prime is 34109561. The next prime is 34109573. The reversal of 34109568 is 86590143.

It can be written as a sum of positive squares in 2 ways, for example, as 34012224 + 97344 = 5832^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34109561) 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 11 ways as a sum of consecutive naturals, for example, 32898 + ... + 33918.

Almost surely, 2^34109568 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 34109568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50818950).

34109568 is an abundant number, since it is smaller than the sum of its proper divisors (67528332).

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

34109568 is a wasteful number, since it uses less digits than its factorization.

34109568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 34109568 is about 5840.3397161467. The cubic root of 34109568 is about 324.3088048069.

The spelling of 34109568 in words is "thirty-four million, one hundred nine thousand, five hundred sixty-eight".