3228340738800 has 720 divisors, whose sum is σ = 11546818650752. Its totient is φ = 769886208000.

The previous prime is 3228340738751. The next prime is 3228340738813. The reversal of 3228340738800 is 88370438223.

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 3228340738800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 551755875 + ... + 551761725.

Almost surely, 2^{3228340738800} is an apocalyptic number.

3228340738800 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 3228340738800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5773409325376).

3228340738800 is an abundant number, since it is smaller than the sum of its proper divisors (8318477911952).

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

3228340738800 is a wasteful number, since it uses less digits than its factorization.

3228340738800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 3228340738800 in words is "three trillion, two hundred twenty-eight billion, three hundred forty million, seven hundred thirty-eight thousand, eight hundred".