3884758218441 has 9 divisors (see below), whose sum is σ = 5611325967559. Its totient is φ = 2589834870336.

The previous prime is 3884758218391. The next prime is 3884758218487. The reversal of 3884758218441 is 1448128574883.

The square root of 3884758218441 is 1970979.

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

3884758218441 is a `hidden beast` number, since 3 + 8 + 8 + 4 + 7 + 582 + 1 + 8 + 4 + 41 = 666.

3884758218441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2575784255625 + 1308973962816 = 1604925^2 + 1144104^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 3884758218441 - 2²⁷ = 3884624000713 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3884758218241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5584441 + ... + 6241433.

Almost surely, 2^{3884758218441} is an apocalyptic number.

3884758218441 is the 1970979-th square number.

3884758218441 is the 985490-th centered octagonal number.

It is an amenable number.

3884758218441 is a deficient number, since it is larger than the sum of its proper divisors (1726567749118).

3884758218441 is an frugal number, since it uses more digits than its factorization.

3884758218441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313992 (or 656996 counting only the distinct ones).

The product of its digits is 55050240, while the sum is 63.

The spelling of 3884758218441 in words is "three trillion, eight hundred eighty-four billion, seven hundred fifty-eight million, two hundred eighteen thousand, four hundred forty-one".