3659894217225 has 189 divisors, whose sum is σ = 7011467163813. Its totient is φ = 1894229634240.

The previous prime is 3659894217181. The next prime is 3659894217229. The reversal of 3659894217225 is 5227124989563.

The square root of 3659894217225 is 1913085.

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

3659894217225 is a `hidden beast` number, since 3 + 6 + 598 + 9 + 4 + 2 + 17 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 347435976969 + 3312458240256 = 589437^2 + 1820016^2 .

It is not a de Polignac number, because 3659894217225 - 2¹¹ = 3659894215177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3659894217229) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 9555859384 + ... + 9555859766.

Almost surely, 2^{3659894217225} is an apocalyptic number.

3659894217225 is the 1913085-th square number.

3659894217225 is the 956543-rd centered octagonal number.

It is an amenable number.

3659894217225 is a deficient number, since it is larger than the sum of its proper divisors (3351572946588).

3659894217225 is an frugal number, since it uses more digits than its factorization.

3659894217225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 428 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 3659894217225 in words is "three trillion, six hundred fifty-nine billion, eight hundred ninety-four million, two hundred seventeen thousand, two hundred twenty-five".