33407988 has 12 divisors (see below), whose sum is σ = 77952000. Its totient is φ = 11135992.

The previous prime is 33407981. The next prime is 33407993. The reversal of 33407988 is 88970433.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×33407988² = 2232187324416288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33407981) 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 3 ways as a sum of consecutive naturals, for example, 1391988 + ... + 1392011.

It is an arithmetic number, because the mean of its divisors is an integer number (6496000).

Almost surely, 2^33407988 is an apocalyptic number.

It is an amenable number.

33407988 is an abundant number, since it is smaller than the sum of its proper divisors (44544012).

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

33407988 is a wasteful number, since it uses less digits than its factorization.

33407988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784006 (or 2784004 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 33407988 is about 5779.9643597517. The cubic root of 33407988 is about 322.0698766860.

The spelling of 33407988 in words is "thirty-three million, four hundred seven thousand, nine hundred eighty-eight".