3983945472 has 180 divisors, whose sum is σ = 12794070520. Its totient is φ = 1225746432.

The previous prime is 3983945443. The next prime is 3983945473. The reversal of 3983945472 is 2745493893.

3983945472 is a `hidden beast` number, since 3 + 9 + 8 + 3 + 94 + 547 + 2 = 666.

3983945472 is digitally balanced in base 2, because in such base 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3983945473) 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, 262179 + ... + 276957.

Almost surely, 2^3983945472 is an apocalyptic number.

3983945472 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 3983945472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6397035260).

3983945472 is an abundant number, since it is smaller than the sum of its proper divisors (8810125048).

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

3983945472 is a wasteful number, since it uses less digits than its factorization.

3983945472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14820 (or 14797 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 3983945472 is about 63118.5034043108. The cubic root of 3983945472 is about 1585.2744564152.

The spelling of 3983945472 in words is "three billion, nine hundred eighty-three million, nine hundred forty-five thousand, four hundred seventy-two".