3982106851056 has 320 divisors, whose sum is σ = 11919003623040. Its totient is φ = 1287687684096.

The previous prime is 3982106851039. The next prime is 3982106851061. The reversal of 3982106851056 is 6501586012893.

3982106851056 is a `hidden beast` number, since 3 + 9 + 8 + 2 + 10 + 68 + 510 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3982106850993 and 3982106851011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 457026156 + ... + 457034868.

It is an arithmetic number, because the mean of its divisors is an integer number (37246886322).

Almost surely, 2^{3982106851056} is an apocalyptic number.

3982106851056 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 3982106851056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959501811520).

3982106851056 is an abundant number, since it is smaller than the sum of its proper divisors (7936896771984).

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

3982106851056 is an equidigital number, since it uses as much as digits as its factorization.

3982106851056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9132 (or 9108 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 3982106851056 in words is "three trillion, nine hundred eighty-two billion, one hundred six million, eight hundred fifty-one thousand, fifty-six".