3681085168067 has 4 divisors (see below), whose sum is σ = 3897619589736. Its totient is φ = 3464550746400.

The previous prime is 3681085168043. The next prime is 3681085168069. The reversal of 3681085168067 is 7608615801863.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 3681085168067 - 2⁶ = 3681085168003 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3681085167997 and 3681085168015.

It is not an unprimeable number, because it can be changed into a prime (3681085168069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108267210809 + ... + 108267210842.

It is an arithmetic number, because the mean of its divisors is an integer number (974404897434).

Almost surely, 2^{3681085168067} is an apocalyptic number.

3681085168067 is a deficient number, since it is larger than the sum of its proper divisors (216534421669).

3681085168067 is a wasteful number, since it uses less digits than its factorization.

3681085168067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216534421668.

The product of its (nonzero) digits is 11612160, while the sum is 59.

The spelling of 3681085168067 in words is "three trillion, six hundred eighty-one billion, eighty-five million, one hundred sixty-eight thousand, sixty-seven".