34311168 has 176 divisors, whose sum is σ = 109064160. Its totient is φ = 10616832.

The previous prime is 34311163. The next prime is 34311223. The reversal of 34311168 is 86111343.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (34311161) 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 15 ways as a sum of consecutive naturals, for example, 469980 + ... + 470052.

Almost surely, 2^34311168 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 34311168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54532080).

34311168 is an abundant number, since it is smaller than the sum of its proper divisors (74752992).

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

34311168 is a wasteful number, since it uses less digits than its factorization.

34311168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 34311168 is about 5857.5735590772. The cubic root of 34311168 is about 324.9464779713.

It can be divided in two parts, 343 and 11168, that added together give a palindrome (11511).

The spelling of 34311168 in words is "thirty-four million, three hundred eleven thousand, one hundred sixty-eight".