36284200 has 24 divisors (see below), whose sum is σ = 84361230. Its totient is φ = 14513600.

The previous prime is 36284177. The next prime is 36284201. The reversal of 36284200 is 248263.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 22638564 + 13645636 = 4758^2 + 3694^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (36284201) 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, 90511 + ... + 90910.

Almost surely, 2^36284200 is an apocalyptic number.

It is an amenable number.

36284200 is an abundant number, since it is smaller than the sum of its proper divisors (48077030).

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

36284200 is a wasteful number, since it uses less digits than its factorization.

36284200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181437 (or 181428 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 36284200 is about 6023.6367752380. The cubic root of 36284200 is about 331.0593444221.

The spelling of 36284200 in words is "thirty-six million, two hundred eighty-four thousand, two hundred".