33788672 has 36 divisors (see below), whose sum is σ = 68249160. Its totient is φ = 16693248.

The previous prime is 33788653. The next prime is 33788701. The reversal of 33788672 is 27688733.

It is a super-2 number, since 2×33788672² = 2283348711047168, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 22043 + ... + 23525.

It is an arithmetic number, because the mean of its divisors is an integer number (1895810).

Almost surely, 2^33788672 is an apocalyptic number.

33788672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33788672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34124580).

33788672 is an abundant number, since it is smaller than the sum of its proper divisors (34460488).

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

33788672 is an equidigital number, since it uses as much as digits as its factorization.

33788672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1574 counting only the distinct ones).

The product of its digits is 338688, while the sum is 44.

The square root of 33788672 is about 5812.8024222401. The cubic root of 33788672 is about 323.2885879437.

The spelling of 33788672 in words is "thirty-three million, seven hundred eighty-eight thousand, six hundred seventy-two".