33820752 has 160 divisors (see below), whose sum is σ = 109707264. Its totient is φ = 8755200.

The previous prime is 33820751. The next prime is 33820789. The reversal of 33820752 is 25702833.

It is a super-2 number, since 2×33820752² = 2287686531691008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33820751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176977 + ... + 177167.

Almost surely, 2^33820752 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 33820752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54853632).

33820752 is an abundant number, since it is smaller than the sum of its proper divisors (75886512).

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

33820752 is a wasteful number, since it uses less digits than its factorization.

33820752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 33820752 is about 5815.5611939004. The cubic root of 33820752 is about 323.3908689431.

The spelling of 33820752 in words is "thirty-three million, eight hundred twenty thousand, seven hundred fifty-two".