36840579721 has 9 divisors (see below), whose sum is σ = 40496511783. Its totient is φ = 33489516720.

The previous prime is 36840579697. The next prime is 36840579749. The reversal of 36840579721 is 12797504863.

The square root of 36840579721 is 191939.

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

It can be written as a sum of positive squares in only one way, i.e., 36629749321 + 210830400 = 191389^2 + 14520^2 .

It is not a de Polignac number, because 36840579721 - 2⁵ = 36840579689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36840579221) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2102605 + ... + 2120053.

It is a 1-persistent number, because it is pandigital, but 2⋅36840579721 = 73681159442 is not.

Almost surely, 2^36840579721 is an apocalyptic number.

36840579721 is the 191939-th square number.

36840579721 is the 95970-th centered octagonal number.

It is an amenable number.

36840579721 is a deficient number, since it is larger than the sum of its proper divisors (3655932062).

36840579721 is an frugal number, since it uses more digits than its factorization.

36840579721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34920 (or 17460 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 36840579721 in words is "thirty-six billion, eight hundred forty million, five hundred seventy-nine thousand, seven hundred twenty-one".