33881940 has 72 divisors (see below), whose sum is σ = 108195360. Its totient is φ = 8558784.

The previous prime is 33881927. The next prime is 33881941. The reversal of 33881940 is 4918833.

33881940 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 2×33881940² = 2295971716327200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33881895 and 33881904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33881941) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1534 + ... + 8373.

Almost surely, 2^33881940 is an apocalyptic number.

33881940 is a gapful number since it is divisible by the number (30) 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 33881940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54097680).

33881940 is an abundant number, since it is smaller than the sum of its proper divisors (74313420).

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

33881940 is a wasteful number, since it uses less digits than its factorization.

33881940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9941 (or 9936 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 33881940 is about 5820.8195299288. The cubic root of 33881940 is about 323.5857760946.

The spelling of 33881940 in words is "thirty-three million, eight hundred eighty-one thousand, nine hundred forty".