33725688 has 64 divisors (see below), whose sum is σ = 90097920. Its totient is φ = 10483200.

The previous prime is 33725687. The next prime is 33725719. The reversal of 33725688 is 88652733.

It is a super-2 number, since 2×33725688² = 2274844062146688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33725687) 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 15 ways as a sum of consecutive naturals, for example, 53133 + ... + 53763.

It is an arithmetic number, because the mean of its divisors is an integer number (1407780).

Almost surely, 2^33725688 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 33725688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45048960).

33725688 is an abundant number, since it is smaller than the sum of its proper divisors (56372232).

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

33725688 is a wasteful number, since it uses less digits than its factorization.

33725688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 784 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 33725688 is about 5807.3821985469. The cubic root of 33725688 is about 323.0875869147.

The spelling of 33725688 in words is "thirty-three million, seven hundred twenty-five thousand, six hundred eighty-eight".