3838186438641 has 15 divisors (see below), whose sum is σ = 5733613488603. Its totient is φ = 2558779204320.

The previous prime is 3838186438631. The next prime is 3838186438651. The reversal of 3838186438641 is 1468346818383.

The square root of 3838186438641 is 1959129.

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

3838186438641 is a `hidden beast` number, since 3 + 8 + 3 + 81 + 86 + 438 + 6 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (3838186438631) and next prime (3838186438651).

It can be written as a sum of positive squares in only one way, i.e., 483134816241 + 3355051622400 = 695079^2 + 1831680^2 .

It is not a de Polignac number, because 3838186438641 - 2¹¹ = 3838186436593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3838186438631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17523321 + ... + 17741001.

Almost surely, 2^{3838186438641} is an apocalyptic number.

3838186438641 is the 1959129-th square number.

3838186438641 is the 979565-th centered octagonal number.

It is an amenable number.

3838186438641 is a deficient number, since it is larger than the sum of its proper divisors (1895427049962).

3838186438641 is an frugal number, since it uses more digits than its factorization.

3838186438641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435374 (or 217684 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 3838186438641 in words is "three trillion, eight hundred thirty-eight billion, one hundred eighty-six million, four hundred thirty-eight thousand, six hundred forty-one".