3979643328 has 168 divisors, whose sum is σ = 12161926400. Its totient is φ = 1240551936.

The previous prime is 3979643323. The next prime is 3979643341. The reversal of 3979643328 is 8233469793.

It is a super-2 number, since 2×3979643328² = 31675122036189831168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3979643323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 862275 + ... + 866877.

Almost surely, 2^3979643328 is an apocalyptic number.

3979643328 is a gapful number since it is divisible by the number (38) 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 3979643328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080963200).

3979643328 is an abundant number, since it is smaller than the sum of its proper divisors (8182283072).

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

3979643328 is a wasteful number, since it uses less digits than its factorization.

3979643328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4719 (or 4706 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 3979643328 is about 63084.4143033761. The cubic root of 3979643328 is about 1584.7036206740.

The spelling of 3979643328 in words is "three billion, nine hundred seventy-nine million, six hundred forty-three thousand, three hundred twenty-eight".