3661536351663 has 32 divisors (see below), whose sum is σ = 5703554926080. Its totient is φ = 2317069085760.

The previous prime is 3661536351647. The next prime is 3661536351677.

3661536351663 is a `hidden beast` number, since 3 + 6 + 6 + 1 + 5 + 3 + 63 + 516 + 63 = 666.

3661536351663 is nontrivially palindromic in base 10.

3661536351663 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3661536351663 - 2⁴ = 3661536351647 is a prime.

It is a super-3 number, since 3×3661536351663³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3661536351623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22423206 + ... + 22585907.

It is an arithmetic number, because the mean of its divisors is an integer number (178236091440).

Almost surely, 2^{3661536351663} is an apocalyptic number.

3661536351663 is a deficient number, since it is larger than the sum of its proper divisors (2042018574417).

3661536351663 is a wasteful number, since it uses less digits than its factorization.

3661536351663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45009276 (or 45009270 counting only the distinct ones).

The product of its digits is 15746400, while the sum is 54.

The spelling of 3661536351663 in words is "three trillion, six hundred sixty-one billion, five hundred thirty-six million, three hundred fifty-one thousand, six hundred sixty-three".