33800104 has 16 divisors (see below), whose sum is σ = 68250420. Its totient is φ = 15600000.

The previous prime is 33800101. The next prime is 33800111. The reversal of 33800104 is 40100833.

33800104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 33663204 + 136900 = 5802^2 + 370^2 .

It is a super-2 number, since 2×33800104² = 2284894060821632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33800101) 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 3 ways as a sum of consecutive naturals, for example, 162397 + ... + 162604.

Almost surely, 2^33800104 is an apocalyptic number.

It is an amenable number.

33800104 is an abundant number, since it is smaller than the sum of its proper divisors (34450316).

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

33800104 is a wasteful number, since it uses less digits than its factorization.

33800104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325020 (or 325016 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 33800104 is about 5813.7856857645. The cubic root of 33800104 is about 323.3250441304.

Adding to 33800104 its reverse (40100833), we get a palindrome (73900937).

The spelling of 33800104 in words is "thirty-three million, eight hundred thousand, one hundred four".