3981146112 has 240 divisors, whose sum is σ = 12058366320. Its totient is φ = 1308524544.

The previous prime is 3981146083. The next prime is 3981146119. The reversal of 3981146112 is 2116411893.

3981146112 is a `hidden beast` number, since 39 + 8 + 1 + 1 + 4 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3981146119) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17086348 + ... + 17086580.

It is an arithmetic number, because the mean of its divisors is an integer number (50243193).

Almost surely, 2^3981146112 is an apocalyptic number.

3981146112 is a gapful number since it is divisible by the number (32) 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 3981146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6029183160).

3981146112 is an abundant number, since it is smaller than the sum of its proper divisors (8077220208).

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

3981146112 is a wasteful number, since it uses less digits than its factorization.

3981146112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 341 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 3981146112 is about 63096.3240767638. The cubic root of 3981146112 is about 1584.9030663154.

The spelling of 3981146112 in words is "three billion, nine hundred eighty-one million, one hundred forty-six thousand, one hundred twelve".