3820820814864 has 165 divisors, whose sum is σ = 11109722284479. Its totient is φ = 1272973618080.

The previous prime is 3820820814841. The next prime is 3820820814871. The reversal of 3820820814864 is 4684180280283.

The square root of 3820820814864 is 1954692.

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

3820820814864 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 82 + 0 + 81 + 486 + 4 = 666.

3820820814864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3820820814864.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 1899959619 + ... + 1899961629.

Almost surely, 2^{3820820814864} is an apocalyptic number.

3820820814864 is the 1954692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3820820814864

3820820814864 is an abundant number, since it is smaller than the sum of its proper divisors (7288901469615).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3820820814864 is an frugal number, since it uses more digits than its factorization.

3820820814864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 3820820814864 in words is "three trillion, eight hundred twenty billion, eight hundred twenty million, eight hundred fourteen thousand, eight hundred sixty-four".