36321810800 has 240 divisors, whose sum is σ = 97145568000. Its totient is φ = 12940032000.

The previous prime is 36321810797. The next prime is 36321810809. The reversal of 36321810800 is 801812363.

It is a happy number.

36321810800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36321810809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72788951 + ... + 72789449.

It is an arithmetic number, because the mean of its divisors is an integer number (404773200).

Almost surely, 2^36321810800 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 36321810800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48572784000).

36321810800 is an abundant number, since it is smaller than the sum of its proper divisors (60823757200).

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

36321810800 is a wasteful number, since it uses less digits than its factorization.

36321810800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 36321810800 in words is "thirty-six billion, three hundred twenty-one million, eight hundred ten thousand, eight hundred".