3680727561 has 81 divisors (see below), whose sum is σ = 6482748909. Its totient is φ = 2083616136.

The previous prime is 3680727539. The next prime is 3680727571. The reversal of 3680727561 is 1657270863.

The square root of 3680727561 is 60669.

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

3680727561 is a `hidden beast` number, since 3 + 6 + 80 + 7 + 2 + 7 + 561 = 666.

3680727561 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 3680727561 - 2⁹ = 3680727049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3680727571) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 34399270 + ... + 34399376.

Almost surely, 2^3680727561 is an apocalyptic number.

3680727561 is the 60669-th square number.

3680727561 is the 30335-th centered octagonal number.

It is an amenable number.

3680727561 is a deficient number, since it is larger than the sum of its proper divisors (2802021348).

3680727561 is an frugal number, since it uses more digits than its factorization.

3680727561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The cubic root of 3680727561 is about 1543.9902649178.

The spelling of 3680727561 in words is "three billion, six hundred eighty million, seven hundred twenty-seven thousand, five hundred sixty-one".