3944112000 has 256 divisors, whose sum is σ = 13198049280. Its totient is φ = 1041868800.

The previous prime is 3944111939. The next prime is 3944112001. The reversal of 3944112000 is 2114493.

3944112000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3944112001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6095677 + ... + 6096323.

It is an arithmetic number, because the mean of its divisors is an integer number (51554880).

Almost surely, 2^3944112000 is an apocalyptic number.

3944112000 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 3944112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599024640).

3944112000 is an abundant number, since it is smaller than the sum of its proper divisors (9253937280).

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

3944112000 is a wasteful number, since it uses less digits than its factorization.

3944112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3944112000 is about 62802.1655677573. The cubic root of 3944112000 is about 1579.9732944266.

Adding to 3944112000 its reverse (2114493), we get a palindrome (3946226493).

The spelling of 3944112000 in words is "three billion, nine hundred forty-four million, one hundred twelve thousand".