33049940 has 72 divisors (see below), whose sum is σ = 87230976. Its totient is φ = 10296000.

The previous prime is 33049931. The next prime is 33049957. The reversal of 33049940 is 4994033.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 33049897 and 33049906.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 15965 + ... + 17915.

Almost surely, 2^33049940 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 33049940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43615488).

33049940 is an abundant number, since it is smaller than the sum of its proper divisors (54181036).

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

33049940 is a wasteful number, since it uses less digits than its factorization.

33049940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 33049940 is about 5748.9077223417. The cubic root of 33049940 is about 320.9151537352.

The spelling of 33049940 in words is "thirty-three million, forty-nine thousand, nine hundred forty".