3986846056080 has 400 divisors, whose sum is σ = 14681105817840. Its totient is φ = 999277461504.

The previous prime is 3986846056051. The next prime is 3986846056091. The reversal of 3986846056080 is 806506486893.

3986846056080 is a `hidden beast` number, since 3 + 9 + 8 + 6 + 8 + 4 + 60 + 560 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 73855671696 + 3912990384384 = 271764^2 + 1978128^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3986846055999 and 3986846056017.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83367216 + ... + 83415024.

Almost surely, 2^{3986846056080} is an apocalyptic number.

3986846056080 is a gapful number since it is divisible by the number (30) 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 3986846056080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340552908920).

3986846056080 is an abundant number, since it is smaller than the sum of its proper divisors (10694259761760).

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

3986846056080 is a wasteful number, since it uses less digits than its factorization.

3986846056080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48608 (or 48593 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 3986846056080 in words is "three trillion, nine hundred eighty-six billion, eight hundred forty-six million, fifty-six thousand, eighty".