33801168 has 80 divisors (see below), whose sum is σ = 96529536. Its totient is φ = 10137600.

The previous prime is 33801161. The next prime is 33801181. The reversal of 33801168 is 86110833.

It is a super-2 number, since 2×33801168² = 2285037916328448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33801161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17868 + ... + 19668.

Almost surely, 2^33801168 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 33801168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48264768).

33801168 is an abundant number, since it is smaller than the sum of its proper divisors (62728368).

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

33801168 is a wasteful number, since it uses less digits than its factorization.

33801168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 33801168 is about 5813.8771916854. The cubic root of 33801168 is about 323.3284367653.

The spelling of 33801168 in words is "thirty-three million, eight hundred one thousand, one hundred sixty-eight".