3943668384 has 192 divisors, whose sum is σ = 11966935680. Its totient is φ = 1278187776.

The previous prime is 3943668373. The next prime is 3943668397. The reversal of 3943668384 is 4838663493.

3943668384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3943668384² = 31105040645922342912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3943668384.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2588647 + ... + 2590169.

It is an arithmetic number, because the mean of its divisors is an integer number (62327790).

Almost surely, 2^3943668384 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 3943668384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983467840).

3943668384 is an abundant number, since it is smaller than the sum of its proper divisors (8023267296).

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

3943668384 is an equidigital number, since it uses as much as digits as its factorization.

3943668384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1565 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The square root of 3943668384 is about 62798.6336157086. The cubic root of 3943668384 is about 1579.9140561060.

The spelling of 3943668384 in words is "three billion, nine hundred forty-three million, six hundred sixty-eight thousand, three hundred eighty-four".