33790768 has 40 divisors (see below), whose sum is σ = 73365840. Its totient is φ = 14941440.

The previous prime is 33790727. The next prime is 33790769. The reversal of 33790768 is 86709733.

It is a super-2 number, since 2×33790768² = 2283632004059648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33790769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3918 + ... + 9106.

It is an arithmetic number, because the mean of its divisors is an integer number (1834146).

Almost surely, 2^33790768 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 33790768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36682920).

33790768 is an abundant number, since it is smaller than the sum of its proper divisors (39575072).

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

33790768 is a wasteful number, since it uses less digits than its factorization.

33790768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5245 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 43.

The square root of 33790768 is about 5812.9827111389. The cubic root of 33790768 is about 323.2952726187.

The spelling of 33790768 in words is "thirty-three million, seven hundred ninety thousand, seven hundred sixty-eight".