33889752 has 128 divisors (see below), whose sum is σ = 103320000. Its totient is φ = 10357632.

The previous prime is 33889747. The next prime is 33889753. The reversal of 33889752 is 25798833.

It is a super-2 number, since 2×33889752² = 2297030581243008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (362880) is a multiple of the sum of its prime factors (189).

It is a junction number, because it is equal to n+sod(n) for n = 33889698 and 33889707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33889753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227374 + ... + 227522.

Almost surely, 2^33889752 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 33889752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51660000).

33889752 is an abundant number, since it is smaller than the sum of its proper divisors (69430248).

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

33889752 is a wasteful number, since it uses less digits than its factorization.

33889752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 33889752 is about 5821.4905307833. The cubic root of 33889752 is about 323.6106434017.

The spelling of 33889752 in words is "thirty-three million, eight hundred eighty-nine thousand, seven hundred fifty-two".