34868768 has 48 divisors (see below), whose sum is σ = 79307424. Its totient is φ = 14914560.

The previous prime is 34868747. The next prime is 34868777. The reversal of 34868768 is 86786843.

It is a happy number.

It is an unprimeable number.

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, 3071 + ... + 8897.

It is an arithmetic number, because the mean of its divisors is an integer number (1652238).

Almost surely, 2^34868768 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 34868768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39653712).

34868768 is an abundant number, since it is smaller than the sum of its proper divisors (44438656).

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

34868768 is a wasteful number, since it uses less digits than its factorization.

34868768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5865 (or 5857 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 50.

The square root of 34868768 is about 5904.9782387406. The cubic root of 34868768 is about 326.6972917745.

The spelling of 34868768 in words is "thirty-four million, eight hundred sixty-eight thousand, seven hundred sixty-eight".