33730866 has 48 divisors (see below), whose sum is σ = 80406144. Its totient is φ = 10154592.

The previous prime is 33730861. The next prime is 33730901. The reversal of 33730866 is 66803733.

It is a super-2 number, since 2×33730866² = 2275542642219912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 33730866.

It is not an unprimeable number, because it can be changed into a prime (33730861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9465 + ... + 12531.

It is an arithmetic number, because the mean of its divisors is an integer number (1675128).

Almost surely, 2^33730866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33730866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40203072).

33730866 is an abundant number, since it is smaller than the sum of its proper divisors (46675278).

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

33730866 is a wasteful number, since it uses less digits than its factorization.

33730866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3132 counting only the distinct ones).

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

The square root of 33730866 is about 5807.8279933207. The cubic root of 33730866 is about 323.1041209181.

It can be divided in two parts, 33730 and 866, that added together give a square (34596 = 186²).

The spelling of 33730866 in words is "thirty-three million, seven hundred thirty thousand, eight hundred sixty-six".