33796224 has 256 divisors, whose sum is σ = 125337600. Its totient is φ = 8709120.

The previous prime is 33796201. The next prime is 33796247. The reversal of 33796224 is 42269733.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33796201) and next prime (33796247).

It is a super-2 number, since 2×33796224² = 2284369513316352, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (54432) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 266049 + ... + 266175.

It is an arithmetic number, because the mean of its divisors is an integer number (489600).

Almost surely, 2^33796224 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 33796224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62668800).

33796224 is an abundant number, since it is smaller than the sum of its proper divisors (91541376).

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

33796224 is a wasteful number, since it uses less digits than its factorization.

33796224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 33796224 is about 5813.4519865567. The cubic root of 33796224 is about 323.3126718886.

The spelling of 33796224 in words is "thirty-three million, seven hundred ninety-six thousand, two hundred twenty-four".