3617661609 has 45 divisors (see below), whose sum is σ = 5573376039. Its totient is φ = 2338515360.

The previous prime is 3617661599. The next prime is 3617661611. The reversal of 3617661609 is 9061667163.

The square root of 3617661609 is 60147.

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

3617661609 is a `hidden beast` number, since 36 + 1 + 7 + 6 + 6 + 1 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 174319209 + 3443342400 = 13203^2 + 58680^2 .

It is not a de Polignac number, because 3617661609 - 2⁹ = 3617661097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3617661689) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22194162 + ... + 22194324.

Almost surely, 2^3617661609 is an apocalyptic number.

3617661609 is the 60147-th square number.

3617661609 is the 30074-th centered octagonal number.

It is an amenable number.

3617661609 is a deficient number, since it is larger than the sum of its proper divisors (1955714430).

3617661609 is an frugal number, since it uses more digits than its factorization.

3617661609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The cubic root of 3617661609 is about 1535.1211212061.

The spelling of 3617661609 in words is "three billion, six hundred seventeen million, six hundred sixty-one thousand, six hundred nine".