33800040 has 48 divisors (see below), whose sum is σ = 109851300. Its totient is φ = 9013248.

The previous prime is 33800023. The next prime is 33800077. The reversal of 33800040 is 4000833.

33800040 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 28068804 + 5731236 = 5298^2 + 2394^2 .

It is a super-2 number, since 2×33800040² = 2284885408003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33799986 and 33800022.

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 11 ways as a sum of consecutive naturals, for example, 46585 + ... + 47304.

Almost surely, 2^33800040 is an apocalyptic number.

33800040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33800040 is an abundant number, since it is smaller than the sum of its proper divisors (76051260).

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

33800040 is a wasteful number, since it uses less digits than its factorization.

33800040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93906 (or 93899 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 33800040 is about 5813.7801816030. The cubic root of 33800040 is about 323.3248400598.

Adding to 33800040 its reverse (4000833), we get a palindrome (37800873).

The spelling of 33800040 in words is "thirty-three million, eight hundred thousand, forty".