33284864 has 36 divisors (see below), whose sum is σ = 69340656. Its totient is φ = 15916032.

The previous prime is 33284857. The next prime is 33284879. The reversal of 33284864 is 46848233.

It is a super-2 number, since 2×33284864² = 2215764342996992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3062 + ... + 8714.

Almost surely, 2^33284864 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 33284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34670328).

33284864 is an abundant number, since it is smaller than the sum of its proper divisors (36055792).

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

33284864 is an equidigital number, since it uses as much as digits as its factorization.

33284864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692 (or 5678 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The square root of 33284864 is about 5769.3035974890. The cubic root of 33284864 is about 321.6737304447.

It can be divided in two parts, 3328 and 4864, that added together give a 13-th power (8192 = 2¹³).

The spelling of 33284864 in words is "thirty-three million, two hundred eighty-four thousand, eight hundred sixty-four".