3281886720000 has 3900 divisors, whose sum is σ = 15883663819320. Its totient is φ = 668860416000.

The previous prime is 3281886719977. The next prime is 3281886720061. The reversal of 3281886720000 is 276881823.

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 299 ways as a sum of consecutive naturals, for example, 172730879991 + ... + 172730880009.

Almost surely, 2^{3281886720000} is an apocalyptic number.

3281886720000 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 3281886720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7941831909660).

3281886720000 is an abundant number, since it is smaller than the sum of its proper divisors (12601777099320).

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

3281886720000 is an equidigital number, since it uses as much as digits as its factorization.

3281886720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 3281886720000 in words is "three trillion, two hundred eighty-one billion, eight hundred eighty-six million, seven hundred twenty thousand".