3536972668667 has 2 divisors, whose sum is σ = 3536972668668. Its totient is φ = 3536972668666.

The previous prime is 3536972668609. The next prime is 3536972668679. The reversal of 3536972668667 is 7668662796353.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3536972668667 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3536972668594 and 3536972668603.

It is not a weakly prime, because it can be changed into another prime (3536972668267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1768486334333 + 1768486334334.

It is an arithmetic number, because the mean of its divisors is an integer number (1768486334334).

Almost surely, 2^{3536972668667} is an apocalyptic number.

3536972668667 is a deficient number, since it is larger than the sum of its proper divisors (1).

3536972668667 is an equidigital number, since it uses as much as digits as its factorization.

3536972668667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2469035520, while the sum is 74.

The spelling of 3536972668667 in words is "three trillion, five hundred thirty-six billion, nine hundred seventy-two million, six hundred sixty-eight thousand, six hundred sixty-seven".