36343632130624 has 343 divisors, whose sum is σ = 91150789891477. Its totient is φ = 14377700623104.

The previous prime is 36343632130607. The next prime is 36343632130667. The reversal of 36343632130624 is 42603123634363.

The square root of 36343632130624 is 6028568.

The cubic root of 36343632130624 is 33124.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 31181502721600 + 5162129409024 = 5584040^2 + 2272032^2 .

It is a tau number, because it is divible by the number of its divisors (343).

It is a super-2 number, since 2×36343632130624² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 2795664010042 + ... + 2795664010054.

Almost surely, 2^{36343632130624} is an apocalyptic number.

36343632130624 is the 6028568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36343632130624

36343632130624 is an abundant number, since it is smaller than the sum of its proper divisors (54807157760853).

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

36343632130624 is an frugal number, since it uses more digits than its factorization.

36343632130624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 46.

Adding to 36343632130624 its reverse (42603123634363), we get a palindrome (78946755764987).

The spelling of 36343632130624 in words is "thirty-six trillion, three hundred forty-three billion, six hundred thirty-two million, one hundred thirty thousand, six hundred twenty-four".