33384216 has 64 divisors (see below), whose sum is σ = 88560000. Its totient is φ = 10457856.

The previous prime is 33384187. The next prime is 33384217. The reversal of 33384216 is 61248333.

It is a super-2 number, since 2×33384216² = 2229011755869312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33384217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81420 + ... + 81828.

It is an arithmetic number, because the mean of its divisors is an integer number (1383750).

Almost surely, 2^33384216 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 33384216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44280000).

33384216 is an abundant number, since it is smaller than the sum of its proper divisors (55175784).

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

33384216 is a wasteful number, since it uses less digits than its factorization.

33384216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 612 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 33384216 is about 5777.9075797385. The cubic root of 33384216 is about 321.9934671977.

The spelling of 33384216 in words is "thirty-three million, three hundred eighty-four thousand, two hundred sixteen".