3227716800000 has 2880 divisors, whose sum is σ = 15080100811776. Its totient is φ = 645120000000.

The previous prime is 3227716799987. The next prime is 3227716800053. The reversal of 3227716800000 is 86177223.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 45460799965 + ... + 45460800035.

Almost surely, 2^{3227716800000} is an apocalyptic number.

3227716800000 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 3227716800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7540050405888).

3227716800000 is an abundant number, since it is smaller than the sum of its proper divisors (11852384011776).

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

3227716800000 is an equidigital number, since it uses as much as digits as its factorization.

3227716800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 3227716800000 in words is "three trillion, two hundred twenty-seven billion, seven hundred sixteen million, eight hundred thousand".