3279933216 has 768 divisors, whose sum is σ = 12889497600. Its totient is φ = 788299776.

The previous prime is 3279933203. The next prime is 3279933221. The reversal of 3279933216 is 6123399723.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44930556 + ... + 44930628.

It is an arithmetic number, because the mean of its divisors is an integer number (16783200).

Almost surely, 2^3279933216 is an apocalyptic number.

3279933216 is a gapful number since it is divisible by the number (36) 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 3279933216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6444748800).

3279933216 is an abundant number, since it is smaller than the sum of its proper divisors (9609564384).

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

3279933216 is a wasteful number, since it uses less digits than its factorization.

3279933216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 3279933216 is about 57270.7012005266. The cubic root of 3279933216 is about 1485.7816841642.

The spelling of 3279933216 in words is "three billion, two hundred seventy-nine million, nine hundred thirty-three thousand, two hundred sixteen".