33744 has 40 divisors (see below), whose sum is σ = 94240. Its totient is φ = 10368.

The previous prime is 33739. The next prime is 33749. The reversal of 33744 is 44733.

33744 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (33739) and next prime (33749).

It is a super-2 number, since 2×33744² = 2277315072, which contains 22 as substring.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 33744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33749) by changing a digit.

33744 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 894 + ... + 930.

It is an arithmetic number, because the mean of its divisors is an integer number (2356).

2³³⁷⁴⁴ 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 33744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47120).

33744 is an abundant number, since it is smaller than the sum of its proper divisors (60496).

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

33744 is a wasteful number, since it uses less digits than its factorization.

33744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 61 counting only the distinct ones).

The product of its digits is 1008, while the sum is 21.

The square root of 33744 is about 183.6954000513. The cubic root of 33744 is about 32.3146051839.

It can be divided in two parts, 33 and 744, that added together give a palindrome (777).

The spelling of 33744 in words is "thirty-three thousand, seven hundred forty-four".