36986734315584 has 189 divisors, whose sum is σ = 111897637059117. Its totient is φ = 11679145602048.

The previous prime is 36986734315567. The next prime is 36986734315607. The reversal of 36986734315584 is 48551343768963.

It is a happy number.

The square root of 36986734315584 is 6081672.

It is a perfect power (a square), and thus also a powerful number.

36986734315584 is a `hidden beast` number, since 3 + 6 + 9 + 8 + 6 + 7 + 3 + 4 + 31 + 5 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10378964289600 + 26607770025984 = 3221640^2 + 5158272^2 .

It is a super-2 number, since 2×36986734315584² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2773235764 + ... + 2773249100.

Almost surely, 2^{36986734315584} is an apocalyptic number.

36986734315584 is the 6081672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36986734315584

36986734315584 is an abundant number, since it is smaller than the sum of its proper divisors (74910902743533).

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

36986734315584 is an frugal number, since it uses more digits than its factorization.

36986734315584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26730 (or 13361 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 36986734315584 in words is "thirty-six trillion, nine hundred eighty-six billion, seven hundred thirty-four million, three hundred fifteen thousand, five hundred eighty-four".