3681063138127 has 8 divisors (see below), whose sum is σ = 3705606531072. Its totient is φ = 3656521923000.

The previous prime is 3681063138029. The next prime is 3681063138161. The reversal of 3681063138127 is 7218313601863.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3681063138127 - 2¹⁵ = 3681063105359 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3681063118127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2920578 + ... + 3986464.

It is an arithmetic number, because the mean of its divisors is an integer number (463200816384).

Almost surely, 2^{3681063138127} is an apocalyptic number.

3681063138127 is a deficient number, since it is larger than the sum of its proper divisors (24543392945).

3681063138127 is a wasteful number, since it uses less digits than its factorization.

3681063138127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088909.

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 3681063138127 in words is "three trillion, six hundred eighty-one billion, sixty-three million, one hundred thirty-eight thousand, one hundred twenty-seven".