36330400 has 36 divisors (see below), whose sum is σ = 88693542. Its totient is φ = 14531840.

The previous prime is 36330391. The next prime is 36330401. The reversal of 36330400 is 403363.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 14837904 + 21492496 = 3852^2 + 4636^2 .

It is not an unprimeable number, because it can be changed into a prime (36330401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21907 + ... + 23506.

Almost surely, 2^36330400 is an apocalyptic number.

It is an amenable number.

36330400 is an abundant number, since it is smaller than the sum of its proper divisors (52363142).

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

36330400 is a wasteful number, since it uses less digits than its factorization.

36330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45433 (or 45420 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 36330400 is about 6027.4704478745. The cubic root of 36330400 is about 331.1997954054.

Adding to 36330400 its reverse (403363), we get a palindrome (36733763).

The spelling of 36330400 in words is "thirty-six million, three hundred thirty thousand, four hundred".