3785824475441 has 2 divisors, whose sum is σ = 3785824475442. Its totient is φ = 3785824475440.

The previous prime is 3785824475431. The next prime is 3785824475467. The reversal of 3785824475441 is 1445744285873.

3785824475441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2186095317025 + 1599729158416 = 1478545^2 + 1264804^2 .

It is a cyclic number.

It is not a de Polignac number, because 3785824475441 - 2³⁸ = 3510946568497 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (3785824475431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1892912237720 + 1892912237721.

It is an arithmetic number, because the mean of its divisors is an integer number (1892912237721).

Almost surely, 2^{3785824475441} is an apocalyptic number.

It is an amenable number.

3785824475441 is a deficient number, since it is larger than the sum of its proper divisors (1).

3785824475441 is an equidigital number, since it uses as much as digits as its factorization.

3785824475441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120422400, while the sum is 62.

The spelling of 3785824475441 in words is "three trillion, seven hundred eighty-five billion, eight hundred twenty-four million, four hundred seventy-five thousand, four hundred forty-one".