3785005901 has 2 divisors, whose sum is σ = 3785005902. Its totient is φ = 3785005900.

The previous prime is 3785005867. The next prime is 3785005933. The reversal of 3785005901 is 1095005873.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3633075625 + 151930276 = 60275^2 + 12326^2 .

It is a cyclic number.

It is not a de Polignac number, because 3785005901 - 2¹⁸ = 3784743757 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3785005201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1892502950 + 1892502951.

It is an arithmetic number, because the mean of its divisors is an integer number (1892502951).

Almost surely, 2^3785005901 is an apocalyptic number.

It is an amenable number.

3785005901 is a deficient number, since it is larger than the sum of its proper divisors (1).

3785005901 is an equidigital number, since it uses as much as digits as its factorization.

3785005901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 3785005901 is about 61522.4016192476. The cubic root of 3785005901 is about 1558.4355756749.

The spelling of 3785005901 in words is "three billion, seven hundred eighty-five million, five thousand, nine hundred one".