3279883968 has 224 divisors, whose sum is σ = 10214457600. Its totient is φ = 1029169152.

The previous prime is 3279883951. The next prime is 3279883969. The reversal of 3279883968 is 8693889723.

3279883968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3279883969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9291280 + ... + 9291632.

Almost surely, 2^3279883968 is an apocalyptic number.

3279883968 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 3279883968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5107228800).

3279883968 is an abundant number, since it is smaller than the sum of its proper divisors (6934573632).

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

3279883968 is a wasteful number, since it uses less digits than its factorization.

3279883968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 660 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 3279883968 is about 57270.2712408454. The cubic root of 3279883968 is about 1485.7742478195.

The spelling of 3279883968 in words is "three billion, two hundred seventy-nine million, eight hundred eighty-three thousand, nine hundred sixty-eight".