3221479296 has 512 divisors, whose sum is σ = 11534976000. Its totient is φ = 865935360.

The previous prime is 3221479229. The next prime is 3221479307. The reversal of 3221479296 is 6929741223.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52811106 + ... + 52811166.

It is an arithmetic number, because the mean of its divisors is an integer number (22529250).

Almost surely, 2^3221479296 is an apocalyptic number.

3221479296 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 3221479296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767488000).

3221479296 is an abundant number, since it is smaller than the sum of its proper divisors (8313496704).

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

3221479296 is a wasteful number, since it uses less digits than its factorization.

3221479296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 169 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3221479296 is about 56758.0769230248. The cubic root of 3221479296 is about 1476.9023499495.

The spelling of 3221479296 in words is "three billion, two hundred twenty-one million, four hundred seventy-nine thousand, two hundred ninety-six".