3228166656 has 640 divisors, whose sum is σ = 11879239680. Its totient is φ = 851558400.

The previous prime is 3228166631. The next prime is 3228166661. The reversal of 3228166656 is 6566618223.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45467101 + ... + 45467171.

It is an arithmetic number, because the mean of its divisors is an integer number (18561312).

Almost surely, 2^3228166656 is an apocalyptic number.

3228166656 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 3228166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939619840).

3228166656 is an abundant number, since it is smaller than the sum of its proper divisors (8651073024).

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

3228166656 is a wasteful number, since it uses less digits than its factorization.

3228166656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 3228166656 is about 56816.9574686994. The cubic root of 3228166656 is about 1477.9235941784.

The spelling of 3228166656 in words is "three billion, two hundred twenty-eight million, one hundred sixty-six thousand, six hundred fifty-six".