3401703806777 has 2 divisors, whose sum is σ = 3401703806778. Its totient is φ = 3401703806776.

The previous prime is 3401703806737. The next prime is 3401703806789. The reversal of 3401703806777 is 7776083071043.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3075126988816 + 326576817961 = 1753604^2 + 571469^2 .

It is a cyclic number.

It is not a de Polignac number, because 3401703806777 - 2¹⁸ = 3401703544633 is a prime.

It is a super-2 number, since 2×3401703806777² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3401703806737) 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 as a sum of consecutive naturals, namely, 1700851903388 + 1700851903389.

It is an arithmetic number, because the mean of its divisors is an integer number (1700851903389).

Almost surely, 2^{3401703806777} is an apocalyptic number.

It is an amenable number.

3401703806777 is a deficient number, since it is larger than the sum of its proper divisors (1).

3401703806777 is an equidigital number, since it uses as much as digits as its factorization.

3401703806777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4148928, while the sum is 53.

The spelling of 3401703806777 in words is "three trillion, four hundred one billion, seven hundred three million, eight hundred six thousand, seven hundred seventy-seven".