36240736900 has 27 divisors (see below), whose sum is σ = 78646530319. Its totient is φ = 14495533280.

The previous prime is 36240736859. The next prime is 36240736943. The reversal of 36240736900 is 963704263.

The square root of 36240736900 is 190370.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20653713796 + 15587023104 = 143714^2 + 124848^2 .

It is a super-2 number, since 2×36240736900² (a number of 22 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 (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1894182 + ... + 1913218.

Almost surely, 2^36240736900 is an apocalyptic number.

36240736900 is the 190370-th square number.

It is an amenable number.

36240736900 is an abundant number, since it is smaller than the sum of its proper divisors (42405793419).

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

36240736900 is an frugal number, since it uses more digits than its factorization.

36240736900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38088 (or 19044 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The spelling of 36240736900 in words is "thirty-six billion, two hundred forty million, seven hundred thirty-six thousand, nine hundred".