3981046160 has 120 divisors (see below), whose sum is σ = 11595492216. Its totient is φ = 1259919360.

The previous prime is 3981046151. The next prime is 3981046169. The reversal of 3981046160 is 616401893.

3981046160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3981046151) and next prime (3981046169).

It can be written as a sum of positive squares in 4 ways, for example, as 92775424 + 3888270736 = 9632^2 + 62356^2 .

It is not an unprimeable number, because it can be changed into a prime (3981046169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11900 + ... + 90020.

Almost surely, 2^3981046160 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 3981046160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797746108).

3981046160 is an abundant number, since it is smaller than the sum of its proper divisors (7614446056).

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

3981046160 is a wasteful number, since it uses less digits than its factorization.

3981046160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78161 (or 78148 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 3981046160 is about 63095.5320129722. The cubic root of 3981046160 is about 1584.8898025003.

The spelling of 3981046160 in words is "three billion, nine hundred eighty-one million, forty-six thousand, one hundred sixty".