36500200 has 96 divisors (see below), whose sum is σ = 94815360. Its totient is φ = 12953600.

The previous prime is 36500171. The next prime is 36500201. The reversal of 36500200 is 200563.

36500200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (36500201) 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 23 ways as a sum of consecutive naturals, for example, 103224 + ... + 103576.

It is an arithmetic number, because the mean of its divisors is an integer number (987660).

Almost surely, 2^36500200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36500200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47407680).

36500200 is an abundant number, since it is smaller than the sum of its proper divisors (58315160).

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

36500200 is a wasteful number, since it uses less digits than its factorization.

36500200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 36500200 is about 6041.5395388924. The cubic root of 36500200 is about 331.7149777133.

Adding to 36500200 its reverse (200563), we get a palindrome (36700763).

The spelling of 36500200 in words is "thirty-six million, five hundred thousand, two hundred".