3228621712800 has 1152 divisors, whose sum is σ = 12146185094400. Its totient is φ = 737673216000.

The previous prime is 3228621712781. The next prime is 3228621712819. The reversal of 3228621712800 is 82171268223.

It is an interprime number because it is at equal distance from previous prime (3228621712781) and next prime (3228621712819).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12002311066 + ... + 12002311334.

It is an arithmetic number, because the mean of its divisors is an integer number (10543563450).

Almost surely, 2^{3228621712800} is an apocalyptic number.

3228621712800 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 3228621712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073092547200).

3228621712800 is an abundant number, since it is smaller than the sum of its proper divisors (8917563381600).

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

3228621712800 is a wasteful number, since it uses less digits than its factorization.

3228621712800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 3228621712800 in words is "three trillion, two hundred twenty-eight billion, six hundred twenty-one million, seven hundred twelve thousand, eight hundred".