33407004 has 48 divisors (see below), whose sum is σ = 81323648. Its totient is φ = 10663488.

The previous prime is 33406979. The next prime is 33407009. The reversal of 33407004 is 40070433.

It is a super-2 number, since 2×33407004² = 2232055832512032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33407009) 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 15 ways as a sum of consecutive naturals, for example, 29187 + ... + 30309.

Almost surely, 2^33407004 is an apocalyptic number.

It is an amenable number.

33407004 is an abundant number, since it is smaller than the sum of its proper divisors (47916644).

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

33407004 is a wasteful number, since it uses less digits than its factorization.

33407004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 33407004 is about 5779.8792374928. The cubic root of 33407004 is about 322.0667145693.

Adding to 33407004 its reverse (40070433), we get a palindrome (73477437).

The spelling of 33407004 in words is "thirty-three million, four hundred seven thousand, four".