3978842112 has 312 divisors, whose sum is σ = 13922865216. Its totient is φ = 1068761088.

The previous prime is 3978842107. The next prime is 3978842113. The reversal of 3978842112 is 2112488793.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3978842113) 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, 4386363 + ... + 4387269.

It is an arithmetic number, because the mean of its divisors is an integer number (44624568).

Almost surely, 2^3978842112 is an apocalyptic number.

3978842112 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 3978842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6961432608).

3978842112 is an abundant number, since it is smaller than the sum of its proper divisors (9944023104).

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

3978842112 is a wasteful number, since it uses less digits than its factorization.

3978842112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 936 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 3978842112 is about 63078.0636354668. The cubic root of 3978842112 is about 1584.5972648184.

The spelling of 3978842112 in words is "three billion, nine hundred seventy-eight million, eight hundred forty-two thousand, one hundred twelve".