3981816160 has 192 divisors, whose sum is σ = 11462072832. Its totient is φ = 1276010496.

The previous prime is 3981816121. The next prime is 3981816197. The reversal of 3981816160 is 616181893.

It is a happy number.

3981816160 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 31 ways as a sum of consecutive naturals, for example, 3102879 + ... + 3104161.

It is an arithmetic number, because the mean of its divisors is an integer number (59698296).

Almost surely, 2^3981816160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3981816160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5731036416).

3981816160 is an abundant number, since it is smaller than the sum of its proper divisors (7480256672).

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

3981816160 is a wasteful number, since it uses less digits than its factorization.

3981816160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 3981816160 is about 63101.6335763188. The cubic root of 3981816160 is about 1584.9919771907.

The spelling of 3981816160 in words is "three billion, nine hundred eighty-one million, eight hundred sixteen thousand, one hundred sixty".