3328221600 has 216 divisors, whose sum is σ = 12803368032. Its totient is φ = 806822400.

The previous prime is 3328221581. The next prime is 3328221607. The reversal of 3328221600 is 61228233.

3328221600 is a `hidden beast` number, since 3 + 32 + 8 + 2 + 21 + 600 = 666.

It is a super-2 number, since 2×3328221600² = 22154118037413120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3328221607) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 58189 + ... + 100211.

It is an arithmetic number, because the mean of its divisors is an integer number (59274852).

Almost surely, 2^3328221600 is an apocalyptic number.

3328221600 is a gapful number since it is divisible by the number (30) 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 3328221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401684016).

3328221600 is an abundant number, since it is smaller than the sum of its proper divisors (9475146432).

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

3328221600 is a wasteful number, since it uses less digits than its factorization.

3328221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42060 (or 42044 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3328221600 is about 57690.7410248820. The cubic root of 3328221600 is about 1493.0375999911.

Adding to 3328221600 its reverse (61228233), we get a palindrome (3389449833).

The spelling of 3328221600 in words is "three billion, three hundred twenty-eight million, two hundred twenty-one thousand, six hundred".