3486907668667 has 2 divisors, whose sum is σ = 3486907668668. Its totient is φ = 3486907668666.

The previous prime is 3486907668577. The next prime is 3486907668677. The reversal of 3486907668667 is 7668667096843.

It is a strong prime.

It is an emirp because it is prime and its reverse (7668667096843) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3486907668667 - 2¹⁹ = 3486907144379 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3486907668593 and 3486907668602.

It is not a weakly prime, because it can be changed into another prime (3486907668677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1743453834333 + 1743453834334.

It is an arithmetic number, because the mean of its divisors is an integer number (1743453834334).

Almost surely, 2^{3486907668667} is an apocalyptic number.

3486907668667 is a deficient number, since it is larger than the sum of its proper divisors (1).

3486907668667 is an equidigital number, since it uses as much as digits as its factorization.

3486907668667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2633637888, while the sum is 76.

The spelling of 3486907668667 in words is "three trillion, four hundred eighty-six billion, nine hundred seven million, six hundred sixty-eight thousand, six hundred sixty-seven".