3279007872 has 576 divisors, whose sum is σ = 12137306400. Its totient is φ = 868589568.

The previous prime is 3279007843. The next prime is 3279007883. The reversal of 3279007872 is 2787009723.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48940383 + ... + 48940449.

Almost surely, 2^3279007872 is an apocalyptic number.

3279007872 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 3279007872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6068653200).

3279007872 is an abundant number, since it is smaller than the sum of its proper divisors (8858298528).

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

3279007872 is a wasteful number, since it uses less digits than its factorization.

3279007872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 3279007872 is about 57262.6219448603. The cubic root of 3279007872 is about 1485.6419467174.

The spelling of 3279007872 in words is "three billion, two hundred seventy-nine million, seven thousand, eight hundred seventy-two".