3875749785601 has 2 divisors, whose sum is σ = 3875749785602. Its totient is φ = 3875749785600.

The previous prime is 3875749785577. The next prime is 3875749785617. The reversal of 3875749785601 is 1065879475783.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3129357462001 + 746392323600 = 1768999^2 + 863940^2 .

It is a cyclic number.

It is not a de Polignac number, because 3875749785601 - 2⁷ = 3875749785473 is a prime.

It is not a weakly prime, because it can be changed into another prime (3875749785671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1937874892800 + 1937874892801.

It is an arithmetic number, because the mean of its divisors is an integer number (1937874892801).

Almost surely, 2^{3875749785601} is an apocalyptic number.

It is an amenable number.

3875749785601 is a deficient number, since it is larger than the sum of its proper divisors (1).

3875749785601 is an equidigital number, since it uses as much as digits as its factorization.

3875749785601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 355622400, while the sum is 70.

The spelling of 3875749785601 in words is "three trillion, eight hundred seventy-five billion, seven hundred forty-nine million, seven hundred eighty-five thousand, six hundred one".