3877611617441 has 16 divisors (see below), whose sum is σ = 4047383226960. Its totient is φ = 3710253281280.

The previous prime is 3877611617333. The next prime is 3877611617501. The reversal of 3877611617441 is 1447161167783.

It can be written as a sum of positive squares in 8 ways, for example, as 309653296225 + 3567958321216 = 556465^2 + 1888904^2 .

It is not a de Polignac number, because 3877611617441 - 2¹⁸ = 3877611355297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3877611677441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24633401 + ... + 24790313.

It is an arithmetic number, because the mean of its divisors is an integer number (252961451685).

Almost surely, 2^{3877611617441} is an apocalyptic number.

It is an amenable number.

3877611617441 is a deficient number, since it is larger than the sum of its proper divisors (169771609519).

3877611617441 is a wasteful number, since it uses less digits than its factorization.

3877611617441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164596.

The product of its digits is 4741632, while the sum is 56.

The spelling of 3877611617441 in words is "three trillion, eight hundred seventy-seven billion, six hundred eleven million, six hundred seventeen thousand, four hundred forty-one".