33681384 has 144 divisors (see below), whose sum is σ = 106310880. Its totient is φ = 9535680.

The previous prime is 33681343. The next prime is 33681409. The reversal of 33681384 is 48318633.

33681384 = 347² + 348² + ... + 522².

It is a happy number.

33681384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33681384² = 2268871256310912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 783267 + ... + 783309.

It is an arithmetic number, because the mean of its divisors is an integer number (738270).

Almost surely, 2^33681384 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 33681384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53155440).

33681384 is an abundant number, since it is smaller than the sum of its proper divisors (72629496).

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

33681384 is a wasteful number, since it uses less digits than its factorization.

33681384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 82 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 33681384 is about 5803.5664896682. The cubic root of 33681384 is about 322.9460494517.

The spelling of 33681384 in words is "thirty-three million, six hundred eighty-one thousand, three hundred eighty-four".