3983006976 has 288 divisors, whose sum is σ = 12493974528. Its totient is φ = 1114767360.

The previous prime is 3983006971. The next prime is 3983006983. The reversal of 3983006976 is 6796003893.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3983006971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5261190 + ... + 5261946.

It is an arithmetic number, because the mean of its divisors is an integer number (43381856).

Almost surely, 2^3983006976 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 3983006976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246987264).

3983006976 is an abundant number, since it is smaller than the sum of its proper divisors (8510967552).

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

3983006976 is a wasteful number, since it uses less digits than its factorization.

3983006976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The square root of 3983006976 is about 63111.0685696257. The cubic root of 3983006976 is about 1585.1499658746.

The spelling of 3983006976 in words is "three billion, nine hundred eighty-three million, six thousand, nine hundred seventy-six".