3806847668401 has 2 divisors, whose sum is σ = 3806847668402. Its totient is φ = 3806847668400.

The previous prime is 3806847668399. The next prime is 3806847668411. The reversal of 3806847668401 is 1048667486083.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2800936960000 + 1005910708401 = 1673600^2 + 1002951^2 .

It is a cyclic number.

It is not a de Polignac number, because 3806847668401 - 2¹ = 3806847668399 is a prime.

Together with 3806847668399, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 3806847668401.

It is not a weakly prime, because it can be changed into another prime (3806847668411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1903423834200 + 1903423834201.

It is an arithmetic number, because the mean of its divisors is an integer number (1903423834201).

Almost surely, 2^{3806847668401} is an apocalyptic number.

It is an amenable number.

3806847668401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3806847668401 is an equidigital number, since it uses as much as digits as its factorization.

3806847668401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37158912, while the sum is 61.

The spelling of 3806847668401 in words is "three trillion, eight hundred six billion, eight hundred forty-seven million, six hundred sixty-eight thousand, four hundred one".