3827063312982 has 240 divisors, whose sum is σ = 10751102196912. Its totient is φ = 1008562907520.

The previous prime is 3827063312981. The next prime is 3827063312987. The reversal of 3827063312982 is 2892133607283.

3827063312982 is a `hidden beast` number, since 38 + 270 + 6 + 331 + 2 + 9 + 8 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3827063312981) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 141671857 + ... + 141698867.

Almost surely, 2^{3827063312982} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3827063312982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5375551098456).

3827063312982 is an abundant number, since it is smaller than the sum of its proper divisors (6924038883930).

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

3827063312982 is a wasteful number, since it uses less digits than its factorization.

3827063312982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28425 (or 28409 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3827063312982 in words is "three trillion, eight hundred twenty-seven billion, sixty-three million, three hundred twelve thousand, nine hundred eighty-two".