36390800 has 30 divisors (see below), whose sum is σ = 87429858. Its totient is φ = 14556160.

The previous prime is 36390799. The next prime is 36390841. The reversal of 36390800 is 809363.

It can be written as a sum of positive squares in 3 ways, for example, as 5776 + 36385024 = 76^2 + 6032^2 .

It is an unprimeable number.

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, 45089 + ... + 45888.

Almost surely, 2^36390800 is an apocalyptic number.

It is an amenable number.

36390800 is an abundant number, since it is smaller than the sum of its proper divisors (51039058).

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

36390800 is a wasteful number, since it uses less digits than its factorization.

36390800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90995 (or 90984 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 36390800 is about 6032.4787608412. The cubic root of 36390800 is about 331.3832358294.

The spelling of 36390800 in words is "thirty-six million, three hundred ninety thousand, eight hundred".