3857133681567 has 32 divisors (see below), whose sum is σ = 5721998146560. Its totient is φ = 2567948097600.

The previous prime is 3857133681559. The next prime is 3857133681581. The reversal of 3857133681567 is 7651863317583.

3857133681567 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 1 + 3 + 3 + 68 + 1 + 567 = 666.

It is not a de Polignac number, because 3857133681567 - 2³ = 3857133681559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3857133681067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61830442 + ... + 61892792.

It is an arithmetic number, because the mean of its divisors is an integer number (178812442080).

Almost surely, 2^{3857133681567} is an apocalyptic number.

3857133681567 is a deficient number, since it is larger than the sum of its proper divisors (1864864464993).

3857133681567 is a wasteful number, since it uses less digits than its factorization.

3857133681567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65420 (or 65414 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 3857133681567 in words is "three trillion, eight hundred fifty-seven billion, one hundred thirty-three million, six hundred eighty-one thousand, five hundred sixty-seven".