3846528866385 has 576 divisors, whose sum is σ = 7944708096000. Its totient is φ = 1715257589760.

The previous prime is 3846528866371. The next prime is 3846528866423. The reversal of 3846528866385 is 5836688256483.

3846528866385 is a `hidden beast` number, since 3 + 8 + 4 + 6 + 528 + 8 + 66 + 38 + 5 = 666.

3846528866385 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3846528866385 - 2¹⁴ = 3846528850001 is a prime.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 43219425421 + ... + 43219425509.

It is an arithmetic number, because the mean of its divisors is an integer number (13792896000).

Almost surely, 2^{3846528866385} is an apocalyptic number.

It is an amenable number.

3846528866385 is an abundant number, since it is smaller than the sum of its proper divisors (4098179229615).

3846528866385 is a wasteful number, since it uses less digits than its factorization.

3846528866385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 306 counting only the distinct ones).

The product of its digits is 1592524800, while the sum is 72.

The spelling of 3846528866385 in words is "three trillion, eight hundred forty-six billion, five hundred twenty-eight million, eight hundred sixty-six thousand, three hundred eighty-five".