33940944 has 50 divisors (see below), whose sum is σ = 98238690. Its totient is φ = 11313216.

The previous prime is 33940943. The next prime is 33940957. The reversal of 33940944 is 44904933.

It can be written as a sum of positive squares in only one way, i.e., 32353344 + 1587600 = 5688^2 + 1260^2 .

It is a super-2 number, since 2×33940944² = 2303975359222272, 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 = 33940899 and 33940908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33940943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11799 + ... + 14390.

Almost surely, 2^33940944 is an apocalyptic number.

It is an amenable number.

33940944 is an abundant number, since it is smaller than the sum of its proper divisors (64297746).

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

33940944 is a wasteful number, since it uses less digits than its factorization.

33940944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26209 (or 26194 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 33940944 is about 5825.8856837394. The cubic root of 33940944 is about 323.7735042540.

The spelling of 33940944 in words is "thirty-three million, nine hundred forty thousand, nine hundred forty-four".