3989881436160 has 384 divisors, whose sum is σ = 13378188096000. Its totient is φ = 1013223653376.

The previous prime is 3989881436131. The next prime is 3989881436197. The reversal of 3989881436160 is 616341889893.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×3989881436160³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3989881436091 and 3989881436100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161789911 + ... + 161814569.

It is an arithmetic number, because the mean of its divisors is an integer number (34839031500).

Almost surely, 2^{3989881436160} is an apocalyptic number.

3989881436160 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 3989881436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6689094048000).

3989881436160 is an abundant number, since it is smaller than the sum of its proper divisors (9388306659840).

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

3989881436160 is a wasteful number, since it uses less digits than its factorization.

3989881436160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24941 (or 24921 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 66.

The spelling of 3989881436160 in words is "three trillion, nine hundred eighty-nine billion, eight hundred eighty-one million, four hundred thirty-six thousand, one hundred sixty".