33886216 has 64 divisors (see below), whose sum is σ = 79228800. Its totient is φ = 13229568.

The previous prime is 33886189. The next prime is 33886217. The reversal of 33886216 is 61268833.

It is a super-2 number, since 2×33886216² = 2296551269597312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33886217) 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 15 ways as a sum of consecutive naturals, for example, 64531 + ... + 65053.

It is an arithmetic number, because the mean of its divisors is an integer number (1237950).

Almost surely, 2^33886216 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 33886216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39614400).

33886216 is an abundant number, since it is smaller than the sum of its proper divisors (45342584).

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

33886216 is a wasteful number, since it uses less digits than its factorization.

33886216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 634 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 33886216 is about 5821.1868205719. The cubic root of 33886216 is about 323.5993880127.

It can be divided in two parts, 3388 and 6216, that added together give a square (9604 = 98²).

The spelling of 33886216 in words is "thirty-three million, eight hundred eighty-six thousand, two hundred sixteen".