3877586849 has 24 divisors (see below), whose sum is σ = 4095803880. Its totient is φ = 3668384000.

The previous prime is 3877586837. The next prime is 3877586851. The reversal of 3877586849 is 9486857783.

It can be written as a sum of positive squares in 4 ways, for example, as 76247824 + 3801339025 = 8732^2 + 61655^2 .

It is not a de Polignac number, because 3877586849 - 2²⁸ = 3609151393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3877586249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14414687 + ... + 14414955.

It is an arithmetic number, because the mean of its divisors is an integer number (170658495).

Almost surely, 2^3877586849 is an apocalyptic number.

It is an amenable number.

3877586849 is a deficient number, since it is larger than the sum of its proper divisors (218217031).

3877586849 is a wasteful number, since it uses less digits than its factorization.

3877586849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 470 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 65.

The square root of 3877586849 is about 62270.2725945535. The cubic root of 3877586849 is about 1571.0397657558.

The spelling of 3877586849 in words is "three billion, eight hundred seventy-seven million, five hundred eighty-six thousand, eight hundred forty-nine".