34389168 has 120 divisors (see below), whose sum is σ = 101326848. Its totient is φ = 10032000.

The previous prime is 34389167. The next prime is 34389191. The reversal of 34389168 is 86198343.

It is a happy number.

It is a super-2 number, since 2×34389168² = 2365229751464448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34389161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179953 + ... + 180143.

Almost surely, 2^34389168 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 34389168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50663424).

34389168 is an abundant number, since it is smaller than the sum of its proper divisors (66937680).

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

34389168 is a wasteful number, since it uses less digits than its factorization.

34389168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 34389168 is about 5864.2278264065. The cubic root of 34389168 is about 325.1925265579.

The spelling of 34389168 in words is "thirty-four million, three hundred eighty-nine thousand, one hundred sixty-eight".