36327481344 has 784 divisors, whose sum is σ = 137522833920. Its totient is φ = 9316270080.

The previous prime is 36327481343. The next prime is 36327481367. The reversal of 36327481344 is 44318472363.

36327481344 is a `hidden beast` number, since 3 + 632 + 7 + 4 + 8 + 1 + 3 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 36327481344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36327481343) 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 55 ways as a sum of consecutive naturals, for example, 459841497 + ... + 459841575.

Almost surely, 2^36327481344 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 36327481344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68761416960).

36327481344 is an abundant number, since it is smaller than the sum of its proper divisors (101195352576).

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

36327481344 is an frugal number, since it uses more digits than its factorization.

36327481344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 102 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 36327481344 in words is "thirty-six billion, three hundred twenty-seven million, four hundred eighty-one thousand, three hundred forty-four".