3983258752 has 64 divisors (see below), whose sum is σ = 8667584640. Its totient is φ = 1808317440.

The previous prime is 3983258737. The next prime is 3983258753. The reversal of 3983258752 is 2578523893.

3983258752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3983258752.

It is not an unprimeable number, because it can be changed into a prime (3983258753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1740553 + ... + 1742839.

It is an arithmetic number, because the mean of its divisors is an integer number (135431010).

Almost surely, 2^3983258752 is an apocalyptic number.

3983258752 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 3983258752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333792320).

3983258752 is an abundant number, since it is smaller than the sum of its proper divisors (4684325888).

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

3983258752 is a wasteful number, since it uses less digits than its factorization.

3983258752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549 (or 3537 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 52.

The square root of 3983258752 is about 63113.0632436740. The cubic root of 3983258752 is about 1585.1833656243.

The spelling of 3983258752 in words is "three billion, nine hundred eighty-three million, two hundred fifty-eight thousand, seven hundred fifty-two".