3872159801856 has 240 divisors, whose sum is σ = 11364229562400. Its totient is φ = 1269063696384.

The previous prime is 3872159801843. The next prime is 3872159801897. The reversal of 3872159801856 is 6581089512783.

3872159801856 is a `hidden beast` number, since 3 + 8 + 7 + 21 + 598 + 0 + 18 + 5 + 6 = 666.

It is a super-2 number, since 2×3872159801856² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3872159801793 and 3872159801802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73383675 + ... + 73436421.

It is an arithmetic number, because the mean of its divisors is an integer number (47350956510).

Almost surely, 2^{3872159801856} is an apocalyptic number.

3872159801856 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 3872159801856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5682114781200).

3872159801856 is an abundant number, since it is smaller than the sum of its proper divisors (7492069760544).

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

3872159801856 is a wasteful number, since it uses less digits than its factorization.

3872159801856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53039 (or 53020 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 3872159801856 in words is "three trillion, eight hundred seventy-two billion, one hundred fifty-nine million, eight hundred one thousand, eight hundred fifty-six".