3871301682456 has 192 divisors, whose sum is σ = 11686692981600. Its totient is φ = 1149500104704.

The previous prime is 3871301682433. The next prime is 3871301682467. The reversal of 3871301682456 is 6542861031783.

3871301682456 is a `hidden beast` number, since 3 + 8 + 71 + 30 + 16 + 82 + 456 = 666.

3871301682456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53899240 + ... + 53971016.

Almost surely, 2^{3871301682456} is an apocalyptic number.

3871301682456 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 3871301682456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5843346490800).

3871301682456 is an abundant number, since it is smaller than the sum of its proper divisors (7815391299144).

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

3871301682456 is a wasteful number, since it uses less digits than its factorization.

3871301682456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73818 (or 73811 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3871301682456 in words is "three trillion, eight hundred seventy-one billion, three hundred one million, six hundred eighty-two thousand, four hundred fifty-six".