34257168 has 160 divisors (see below), whose sum is σ = 109814400. Its totient is φ = 10264320.

The previous prime is 34257163. The next prime is 34257203. The reversal of 34257168 is 86175243.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (40320) is a multiple of the sum of its prime divisors (105).

It is not an unprimeable number, because it can be changed into a prime (34257161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384868 + ... + 384956.

It is an arithmetic number, because the mean of its divisors is an integer number (686340).

Almost surely, 2^34257168 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 34257168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54907200).

34257168 is an abundant number, since it is smaller than the sum of its proper divisors (75557232).

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

34257168 is an equidigital number, since it uses as much as digits as its factorization.

34257168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 34257168 is about 5852.9623268905. The cubic root of 34257168 is about 324.7759181188.

The spelling of 34257168 in words is "thirty-four million, two hundred fifty-seven thousand, one hundred sixty-eight".