33738 has 8 divisors (see below), whose sum is σ = 67488. Its totient is φ = 11244.

The previous prime is 33721. The next prime is 33739. The reversal of 33738 is 83733.

It is a sphenic number, since it is the product of 3 distinct primes.

33738 is an admirable number.

It is a super-2 number, since 2×33738² = 2276505288, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33739) 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 3 ways as a sum of consecutive naturals, for example, 2806 + ... + 2817.

It is an arithmetic number, because the mean of its divisors is an integer number (8436).

2³³⁷³⁸ is an apocalyptic number.

33738 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33744).

33738 is a wasteful number, since it uses less digits than its factorization.

33738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628.

The product of its digits is 1512, while the sum is 24.

The square root of 33738 is about 183.6790679419. The cubic root of 33738 is about 32.3126897903.

It can be divided in two parts, 3 and 3738, that added together give a triangular number (3741 = T₈₆).

The spelling of 33738 in words is "thirty-three thousand, seven hundred thirty-eight".