3845137565977 has 2 divisors, whose sum is σ = 3845137565978. Its totient is φ = 3845137565976.

The previous prime is 3845137565827. The next prime is 3845137565999. The reversal of 3845137565977 is 7795657315483.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2731139643456 + 1113997922521 = 1652616^2 + 1055461^2 .

It is a cyclic number.

It is not a de Polignac number, because 3845137565977 - 2¹¹ = 3845137563929 is a prime.

It is not a weakly prime, because it can be changed into another prime (3845137565177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1922568782988 + 1922568782989.

It is an arithmetic number, because the mean of its divisors is an integer number (1922568782989).

Almost surely, 2^{3845137565977} is an apocalyptic number.

It is an amenable number.

3845137565977 is a deficient number, since it is larger than the sum of its proper divisors (1).

3845137565977 is an equidigital number, since it uses as much as digits as its factorization.

3845137565977 is an evil number, because the sum of its binary digits is even.

The product of its digits is 666792000, while the sum is 70.

The spelling of 3845137565977 in words is "three trillion, eight hundred forty-five billion, one hundred thirty-seven million, five hundred sixty-five thousand, nine hundred seventy-seven".