3821927705856 has 216 divisors, whose sum is σ = 11872659500520. Its totient is φ = 1175438573568.

The previous prime is 3821927705819. The next prime is 3821927705909. The reversal of 3821927705856 is 6585077291283.

3821927705856 is a `hidden beast` number, since 3 + 8 + 21 + 9 + 27 + 7 + 0 + 585 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18491648256 + 3803436057600 = 135984^2 + 1950240^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3821927705793 and 3821927705802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67932970 + ... + 67989206.

Almost surely, 2^{3821927705856} is an apocalyptic number.

3821927705856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3821927705856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5936329750260).

3821927705856 is an abundant number, since it is smaller than the sum of its proper divisors (8050731794664).

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

3821927705856 is a wasteful number, since it uses less digits than its factorization.

3821927705856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58541 (or 58524 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 3821927705856 in words is "three trillion, eight hundred twenty-one billion, nine hundred twenty-seven million, seven hundred five thousand, eight hundred fifty-six".