33400900 has 36 divisors (see below), whose sum is σ = 78058372. Its totient is φ = 12332160.

The previous prime is 33400897. The next prime is 33400901. The reversal of 33400900 is 900433.

It can be written as a sum of positive squares in 6 ways, for example, as 430336 + 32970564 = 656^2 + 5742^2 .

It is a super-2 number, since 2×33400900² = 2231240241620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33400901) 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 11 ways as a sum of consecutive naturals, for example, 11547 + ... + 14146.

Almost surely, 2^33400900 is an apocalyptic number.

It is an amenable number.

33400900 is an abundant number, since it is smaller than the sum of its proper divisors (44657472).

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

33400900 is a wasteful number, since it uses less digits than its factorization.

33400900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25720 (or 25713 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 33400900 is about 5779.3511746562. The cubic root of 33400900 is about 322.0470977750.

The spelling of 33400900 in words is "thirty-three million, four hundred thousand, nine hundred".