33381936 has 240 divisors, whose sum is σ = 118742400. Its totient is φ = 8926848.

The previous prime is 33381899. The next prime is 33381949. The reversal of 33381936 is 63918333.

It is a super-2 number, since 2×33381936² = 2228707302216192, 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 self number, because there is not a number n which added to its sum of digits gives 33381936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402151 + ... + 402233.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 2^33381936 is an apocalyptic number.

33381936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33381936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59371200).

33381936 is an abundant number, since it is smaller than the sum of its proper divisors (85360464).

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

33381936 is a wasteful number, since it uses less digits than its factorization.

33381936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 33381936 is about 5777.7102731099. The cubic root of 33381936 is about 321.9861367692.

The spelling of 33381936 in words is "thirty-three million, three hundred eighty-one thousand, nine hundred thirty-six".