3328113484800 has 990 divisors, whose sum is σ = 13345909077798. Its totient is φ = 819141672960.

The previous prime is 3328113484691. The next prime is 3328113484867. The reversal of 3328113484800 is 84843118233.

3328113484800 is a `hidden beast` number, since 3 + 3 + 2 + 81 + 13 + 484 + 80 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 2910818156544 + 417295328256 = 1706112^2 + 645984^2 .

It is a super-2 number, since 2×3328113484800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 350433652 + ... + 350443148.

Almost surely, 2^{3328113484800} is an apocalyptic number.

3328113484800 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 3328113484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6672954538899).

3328113484800 is an abundant number, since it is smaller than the sum of its proper divisors (10017795592998).

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

3328113484800 is a wasteful number, since it uses less digits than its factorization.

3328113484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9565 (or 9520 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 3328113484800 in words is "three trillion, three hundred twenty-eight billion, one hundred thirteen million, four hundred eighty-four thousand, eight hundred".