34855168 has 36 divisors (see below), whose sum is σ = 73675980. Its totient is φ = 16400384.

The previous prime is 34855157. The next prime is 34855193. The reversal of 34855168 is 86155843.

It can be written as a sum of positive squares in 2 ways, for example, as 24920064 + 9935104 = 4992^2 + 3152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34855168.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 348 + ... + 8356.

It is an arithmetic number, because the mean of its divisors is an integer number (2046555).

Almost surely, 2^34855168 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 34855168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36837990).

34855168 is an abundant number, since it is smaller than the sum of its proper divisors (38820812).

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

34855168 is an equidigital number, since it uses as much as digits as its factorization.

34855168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8042 (or 8028 counting only the distinct ones).

The product of its digits is 115200, while the sum is 40.

The square root of 34855168 is about 5903.8265557179. The cubic root of 34855168 is about 326.6548119165.

The spelling of 34855168 in words is "thirty-four million, eight hundred fifty-five thousand, one hundred sixty-eight".