3838668561 has 96 divisors (see below), whose sum is σ = 7349771520. Its totient is φ = 1872986112.

The previous prime is 3838668521. The next prime is 3838668571. The reversal of 3838668561 is 1658668383.

It is not a de Polignac number, because 3838668561 - 2⁶ = 3838668497 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3838668498 and 3838668507.

It is not an unprimeable number, because it can be changed into a prime (3838668511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 819121 + ... + 823793.

It is an arithmetic number, because the mean of its divisors is an integer number (76560120).

Almost surely, 2^3838668561 is an apocalyptic number.

It is an amenable number.

3838668561 is a deficient number, since it is larger than the sum of its proper divisors (3511102959).

3838668561 is a wasteful number, since it uses less digits than its factorization.

3838668561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4772 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 3838668561 is about 61956.9896056934. The cubic root of 3838668561 is about 1565.7660491757.

The spelling of 3838668561 in words is "three billion, eight hundred thirty-eight million, six hundred sixty-eight thousand, five hundred sixty-one".