3271200000000 has 864 divisors, whose sum is σ = 11517181603200. Its totient is φ = 824320000000.

The previous prime is 3271199999981. The next prime is 3271200000179. The reversal of 3271200000000 is 21723.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69599999977 + ... + 69600000023.

It is an arithmetic number, because the mean of its divisors is an integer number (13330071300).

Almost surely, 2^{3271200000000} is an apocalyptic number.

3271200000000 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 3271200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758590801600).

3271200000000 is an abundant number, since it is smaller than the sum of its proper divisors (8245981603200).

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

3271200000000 is an frugal number, since it uses more digits than its factorization.

3271200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

Adding to 3271200000000 its reverse (21723), we get a palindrome (3271200021723).

The spelling of 3271200000000 in words is "three trillion, two hundred seventy-one billion, two hundred million", and thus it is an aban number.