3993964128 has 324 divisors, whose sum is σ = 14528683260. Its totient is φ = 1036949760.

The previous prime is 3993964123. The next prime is 3993964159. The reversal of 3993964128 is 8214693993.

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 (3993964123) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1706383 + ... + 1708721.

It is an arithmetic number, because the mean of its divisors is an integer number (44841615).

Almost surely, 2^3993964128 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 3993964128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7264341630).

3993964128 is an abundant number, since it is smaller than the sum of its proper divisors (10534719132).

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

3993964128 is a wasteful number, since it uses less digits than its factorization.

3993964128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2362 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 3993964128 is about 63197.8174306677. The cubic root of 3993964128 is about 1586.6022042246.

The spelling of 3993964128 in words is "three billion, nine hundred ninety-three million, nine hundred sixty-four thousand, one hundred twenty-eight".