36243200 has 108 divisors (see below), whose sum is σ = 102649680. Its totient is φ = 12410880.

The previous prime is 36243199. The next prime is 36243217. The reversal of 36243200 is 234263.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44396 + ... + 45204.

It is an arithmetic number, because the mean of its divisors is an integer number (950460).

Almost surely, 2^36243200 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 36243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51324840).

36243200 is an abundant number, since it is smaller than the sum of its proper divisors (66406480).

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

36243200 is an equidigital number, since it uses as much as digits as its factorization.

36243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 36243200 is about 6020.2325536477. The cubic root of 36243200 is about 330.9346018909.

Adding to 36243200 its reverse (234263), we get a palindrome (36477463).

The spelling of 36243200 in words is "thirty-six million, two hundred forty-three thousand, two hundred".