3328903200 has 216 divisors, whose sum is σ = 12605099472. Its totient is φ = 760865280.

The previous prime is 3328903199. The next prime is 3328903211. The reversal of 3328903200 is 23098233.

It is a super-2 number, since 2×3328903200² = 22163193029940480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 35 ways as a sum of consecutive naturals, for example, 103447 + ... + 131753.

It is an arithmetic number, because the mean of its divisors is an integer number (58356942).

Almost surely, 2^3328903200 is an apocalyptic number.

3328903200 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 3328903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6302549736).

3328903200 is an abundant number, since it is smaller than the sum of its proper divisors (9276196272).

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

3328903200 is a wasteful number, since it uses less digits than its factorization.

3328903200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28344 (or 28324 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3328903200 is about 57696.6480828826. The cubic root of 3328903200 is about 1493.1395147761.

The spelling of 3328903200 in words is "three billion, three hundred twenty-eight million, nine hundred three thousand, two hundred".