34123768 has 64 divisors (see below), whose sum is σ = 77045760. Its totient is φ = 13862016.

The previous prime is 34123741. The next prime is 34123781. The reversal of 34123768 is 86732143.

It is a happy number.

34123768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88905 + ... + 89287.

It is an arithmetic number, because the mean of its divisors is an integer number (1203840).

Almost surely, 2^34123768 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 34123768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38522880).

34123768 is an abundant number, since it is smaller than the sum of its proper divisors (42921992).

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

34123768 is a wasteful number, since it uses less digits than its factorization.

34123768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 34123768 is about 5841.5552723568. Note that the first 3 decimals coincide. The cubic root of 34123768 is about 324.3538024072.

The spelling of 34123768 in words is "thirty-four million, one hundred twenty-three thousand, seven hundred sixty-eight".