34488168 has 96 divisors (see below), whose sum is σ = 101982240. Its totient is φ = 9634560.

The previous prime is 34488149. The next prime is 34488169. The reversal of 34488168 is 86188443.

34488168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34488169) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44230 + ... + 45002.

It is an arithmetic number, because the mean of its divisors is an integer number (1062315).

Almost surely, 2^34488168 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 34488168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50991120).

34488168 is an abundant number, since it is smaller than the sum of its proper divisors (67494072).

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

34488168 is a wasteful number, since it uses less digits than its factorization.

34488168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 802 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 34488168 is about 5872.6627691363. The cubic root of 34488168 is about 325.5042837938.

The spelling of 34488168 in words is "thirty-four million, four hundred eighty-eight thousand, one hundred sixty-eight".