33838272 has 84 divisors (see below), whose sum is σ = 104475280. Its totient is φ = 10409472.

The previous prime is 33838271. The next prime is 33838289. The reversal of 33838272 is 27283833.

33838272 is a `hidden beast` number, since 3 + 383 + 8 + 272 = 666.

It is a super-2 number, since 2×33838272² = 2290057303891968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33838271) 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 11 ways as a sum of consecutive naturals, for example, 5229 + ... + 9747.

Almost surely, 2^33838272 is an apocalyptic number.

33838272 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 33838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52237640).

33838272 is an abundant number, since it is smaller than the sum of its proper divisors (70637008).

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

33838272 is a wasteful number, since it uses less digits than its factorization.

33838272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550 (or 4537 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 33838272 is about 5817.0673023440. The cubic root of 33838272 is about 323.4467008375.

The spelling of 33838272 in words is "thirty-three million, eight hundred thirty-eight thousand, two hundred seventy-two".