3785103915841 has 2 divisors, whose sum is σ = 3785103915842. Its totient is φ = 3785103915840.

The previous prime is 3785103915793. The next prime is 3785103915869. The reversal of 3785103915841 is 1485193015873.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3668263003441 + 116840912400 = 1915271^2 + 341820^2 .

It is a cyclic number.

It is not a de Polignac number, because 3785103915841 - 2¹¹ = 3785103913793 is a prime.

It is not a weakly prime, because it can be changed into another prime (3785103912841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1892551957920 + 1892551957921.

It is an arithmetic number, because the mean of its divisors is an integer number (1892551957921).

Almost surely, 2^{3785103915841} is an apocalyptic number.

It is an amenable number.

3785103915841 is a deficient number, since it is larger than the sum of its proper divisors (1).

3785103915841 is an equidigital number, since it uses as much as digits as its factorization.

3785103915841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3628800, while the sum is 55.

The spelling of 3785103915841 in words is "three trillion, seven hundred eighty-five billion, one hundred three million, nine hundred fifteen thousand, eight hundred forty-one".