33382368 has 120 divisors (see below), whose sum is σ = 100440648. Its totient is φ = 10917504.

The previous prime is 33382367. The next prime is 33382409. The reversal of 33382368 is 86328333.

It is a super-2 number, since 2×33382368² = 2228764986574848, 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33382367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 629830 + ... + 629882.

Almost surely, 2^33382368 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 33382368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50220324).

33382368 is an abundant number, since it is smaller than the sum of its proper divisors (67058280).

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

33382368 is an frugal number, since it uses more digits than its factorization.

33382368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 33382368 is about 5777.7476580412. The cubic root of 33382368 is about 321.9875257182.

The spelling of 33382368 in words is "thirty-three million, three hundred eighty-two thousand, three hundred sixty-eight".