3981410160 has 480 divisors, whose sum is σ = 15728279040. Its totient is φ = 815173632.

The previous prime is 3981410141. The next prime is 3981410201. The reversal of 3981410160 is 610141893.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10504851 + ... + 10505229.

It is an arithmetic number, because the mean of its divisors is an integer number (32767248).

Almost surely, 2^3981410160 is an apocalyptic number.

3981410160 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 3981410160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7864139520).

3981410160 is an abundant number, since it is smaller than the sum of its proper divisors (11746868880).

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

3981410160 is a wasteful number, since it uses less digits than its factorization.

3981410160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 3981410160 is about 63098.4164619050. The cubic root of 3981410160 is about 1584.9381049049.

The spelling of 3981410160 in words is "three billion, nine hundred eighty-one million, four hundred ten thousand, one hundred sixty".