33729088 has 56 divisors (see below), whose sum is σ = 73380600. Its totient is φ = 15310848.

The previous prime is 33729083. The next prime is 33729097. The reversal of 33729088 is 88092733.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8809024 + 24920064 = 2968^2 + 4992^2 .

It is a super-2 number, since 2×33729088² = 2275302754623488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33729088.

It is not an unprimeable number, because it can be changed into a prime (33729083) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31018 + ... + 32086.

Almost surely, 2^33729088 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 33729088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36690300).

33729088 is an abundant number, since it is smaller than the sum of its proper divisors (39651512).

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

33729088 is a wasteful number, since it uses less digits than its factorization.

33729088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 33729088 is about 5807.6749220321. The cubic root of 33729088 is about 323.0984437319.

The spelling of 33729088 in words is "thirty-three million, seven hundred twenty-nine thousand, eighty-eight".