3806778743777 has 2 divisors, whose sum is σ = 3806778743778. Its totient is φ = 3806778743776.

The previous prime is 3806778743711. The next prime is 3806778743839. The reversal of 3806778743777 is 7773478776083.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1982128910161 + 1824649833616 = 1407881^2 + 1350796^2 .

It is a cyclic number.

It is not a de Polignac number, because 3806778743777 - 2³⁸ = 3531900836833 is a prime.

It is not a weakly prime, because it can be changed into another prime (3806778740777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1903389371888 + 1903389371889.

It is an arithmetic number, because the mean of its divisors is an integer number (1903389371889).

Almost surely, 2^{3806778743777} is an apocalyptic number.

It is an amenable number.

3806778743777 is a deficient number, since it is larger than the sum of its proper divisors (1).

3806778743777 is an equidigital number, since it uses as much as digits as its factorization.

3806778743777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1626379776, while the sum is 74.

The spelling of 3806778743777 in words is "three trillion, eight hundred six billion, seven hundred seventy-eight million, seven hundred forty-three thousand, seven hundred seventy-seven".