33824768 has 28 divisors (see below), whose sum is σ = 67661790. Its totient is φ = 16908288.

The previous prime is 33824753. The next prime is 33824779. The reversal of 33824768 is 86742833.

It can be written as a sum of positive squares in only one way, i.e., 28217344 + 5607424 = 5312^2 + 2368^2 .

It is a super-3 number, since 3×33824768³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6128 + ... + 10256.

Almost surely, 2^33824768 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 33824768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33830895).

33824768 is an abundant number, since it is smaller than the sum of its proper divisors (33837022).

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

33824768 is an frugal number, since it uses more digits than its factorization.

33824768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4131 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 33824768 is about 5815.9064641722. The cubic root of 33824768 is about 323.4036686420.

The spelling of 33824768 in words is "thirty-three million, eight hundred twenty-four thousand, seven hundred sixty-eight".