3726736209 has 189 divisors, whose sum is σ = 7287161067. Its totient is φ = 1898805888.

The previous prime is 3726736199. The next prime is 3726736219. The reversal of 3726736209 is 9026376273.

The square root of 3726736209 is 61047.

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

3726736209 is a `hidden beast` number, since 372 + 6 + 73 + 6 + 209 = 666.

It is an interprime number because it is at equal distance from previous prime (3726736199) and next prime (3726736219).

It can be written as a sum of positive squares in only one way, i.e., 2901438225 + 825297984 = 53865^2 + 28728^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 3726736209 - 2⁵ = 3726736177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3726736219) 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 188 ways as a sum of consecutive naturals, for example, 196144002 + ... + 196144020.

Almost surely, 2^3726736209 is an apocalyptic number.

3726736209 is the 61047-th square number.

3726736209 is the 30524-th centered octagonal number.

It is an amenable number.

3726736209 is a deficient number, since it is larger than the sum of its proper divisors (3560424858).

3726736209 is an equidigital number, since it uses as much as digits as its factorization.

3726736209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The cubic root of 3726736209 is about 1550.3968749937.

The spelling of 3726736209 in words is "three billion, seven hundred twenty-six million, seven hundred thirty-six thousand, two hundred nine".