3859856542080 has 1536 divisors, whose sum is σ = 17665833369600. Its totient is φ = 752288808960.

The previous prime is 3859856542033. The next prime is 3859856542097. The reversal of 3859856542080 is 802456589583.

3859856542080 is a `hidden beast` number, since 3 + 8 + 5 + 9 + 8 + 5 + 6 + 542 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3859856541999 and 3859856542017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 867966417 + ... + 867970863.

It is an arithmetic number, because the mean of its divisors is an integer number (11501193600).

Almost surely, 2^{3859856542080} is an apocalyptic number.

3859856542080 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 3859856542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8832916684800).

3859856542080 is an abundant number, since it is smaller than the sum of its proper divisors (13805976827520).

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

3859856542080 is a wasteful number, since it uses less digits than its factorization.

3859856542080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 4597 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 3859856542080 in words is "three trillion, eight hundred fifty-nine billion, eight hundred fifty-six million, five hundred forty-two thousand, eighty".