3823886386576 has 135 divisors (see below), whose sum is σ = 7964667787881. Its totient is φ = 1778137792512.

The previous prime is 3823886386571. The next prime is 3823886386609. The reversal of 3823886386576 is 6756836883283.

It is a happy number.

The square root of 3823886386576 is 1955476.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3313404716176 + 510481670400 = 1820276^2 + 714480^2 .

It is a super-2 number, since 2×3823886386576² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3823886386499 and 3823886386508.

It is not an unprimeable number, because it can be changed into a prime (3823886386571) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19812882736 + ... + 19812882928.

Almost surely, 2^{3823886386576} is an apocalyptic number.

3823886386576 is the 1955476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3823886386576

3823886386576 is an abundant number, since it is smaller than the sum of its proper divisors (4140781401305).

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

3823886386576 is an equidigital number, since it uses as much as digits as its factorization.

3823886386576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 361 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 73.

The spelling of 3823886386576 in words is "three trillion, eight hundred twenty-three billion, eight hundred eighty-six million, three hundred eighty-six thousand, five hundred seventy-six".