3877677441 has 135 divisors (see below), whose sum is σ = 6951355257. Its totient is φ = 2152085760.

The previous prime is 3877677431. The next prime is 3877677443. The reversal of 3877677441 is 1447767783.

It is a happy number.

The square root of 3877677441 is 62271.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1803785841 + 2073891600 = 42471^2 + 45540^2 .

It is not a de Polignac number, because 3877677441 - 2⁵ = 3877677409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3877677443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 104802075 + ... + 104802111.

Almost surely, 2^3877677441 is an apocalyptic number.

3877677441 is the 62271-st square number.

3877677441 is the 31136-th centered octagonal number.

It is an amenable number.

3877677441 is a deficient number, since it is larger than the sum of its proper divisors (3073677816).

3877677441 is a wasteful number, since it uses less digits than its factorization.

3877677441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 68 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The cubic root of 3877677441 is about 1571.0520003862.

The spelling of 3877677441 in words is "three billion, eight hundred seventy-seven million, six hundred seventy-seven thousand, four hundred forty-one".