33852168 has 160 divisors (see below), whose sum is σ = 114998400. Its totient is φ = 9082368.

The previous prime is 33852163. The next prime is 33852179. The reversal of 33852168 is 86125833.

It is a super-2 number, since 2×33852168² = 2291938556600448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33852163) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 76893 + ... + 77331.

It is an arithmetic number, because the mean of its divisors is an integer number (718740).

Almost surely, 2^33852168 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 33852168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57499200).

33852168 is an abundant number, since it is smaller than the sum of its proper divisors (81146232).

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

33852168 is a wasteful number, since it uses less digits than its factorization.

33852168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 468 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 33852168 is about 5818.2615960440. The cubic root of 33852168 is about 323.4909702399.

The spelling of 33852168 in words is "thirty-three million, eight hundred fifty-two thousand, one hundred sixty-eight".