36952372900 has 81 divisors (see below), whose sum is σ = 82129853379. Its totient is φ = 14431090560.

The previous prime is 36952372883. The next prime is 36952372901. The reversal of 36952372900 is 927325963.

The square root of 36952372900 is 192230.

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 4243480164 + 32708892736 = 65142^2 + 180856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36952372901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90347896 + ... + 90348304.

Almost surely, 2^36952372900 is an apocalyptic number.

36952372900 is the 192230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36952372900

36952372900 is an abundant number, since it is smaller than the sum of its proper divisors (45177480479).

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

36952372900 is an equidigital number, since it uses as much as digits as its factorization.

36952372900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 46.

The spelling of 36952372900 in words is "thirty-six billion, nine hundred fifty-two million, three hundred seventy-two thousand, nine hundred".