3328103578800 has 1440 divisors, whose sum is σ = 15204061877760. Its totient is φ = 610567372800.

The previous prime is 3328103578703. The next prime is 3328103578841. The reversal of 3328103578800 is 88753018233.

3328103578800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3328103578800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3328103578800.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 193384596 + ... + 193401804.

It is an arithmetic number, because the mean of its divisors is an integer number (10558376304).

Almost surely, 2^{3328103578800} is an apocalyptic number.

3328103578800 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 3328103578800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7602030938880).

3328103578800 is an abundant number, since it is smaller than the sum of its proper divisors (11875958298960).

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

3328103578800 is a wasteful number, since it uses less digits than its factorization.

3328103578800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17291 (or 17273 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 3328103578800 in words is "three trillion, three hundred twenty-eight billion, one hundred three million, five hundred seventy-eight thousand, eight hundred".