3218720928 has 192 divisors, whose sum is σ = 8935557120. Its totient is φ = 1013583872.

The previous prime is 3218720863. The next prime is 3218720941. The reversal of 3218720928 is 8290278123.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3218720928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28484200 + ... + 28484312.

It is an arithmetic number, because the mean of its divisors is an integer number (46539360).

Almost surely, 2^3218720928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3218720928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467778560).

3218720928 is an abundant number, since it is smaller than the sum of its proper divisors (5716836192).

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

3218720928 is a wasteful number, since it uses less digits than its factorization.

3218720928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 3218720928 is about 56733.7723758962. The cubic root of 3218720928 is about 1476.4807006499.

The spelling of 3218720928 in words is "three billion, two hundred eighteen million, seven hundred twenty thousand, nine hundred twenty-eight".