34689168 has 80 divisors (see below), whose sum is σ = 101332800. Its totient is φ = 11358720.

The previous prime is 34689143. The next prime is 34689181. The reversal of 34689168 is 86198643.

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

It is an unprimeable number.

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, 24808 + ... + 26168.

It is an arithmetic number, because the mean of its divisors is an integer number (1266660).

Almost surely, 2^34689168 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 34689168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50666400).

34689168 is an abundant number, since it is smaller than the sum of its proper divisors (66643632).

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

34689168 is a wasteful number, since it uses less digits than its factorization.

34689168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1425 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 34689168 is about 5889.7510983063. The cubic root of 34689168 is about 326.1354149063.

The spelling of 34689168 in words is "thirty-four million, six hundred eighty-nine thousand, one hundred sixty-eight".