3201880968000 has 1792 divisors, whose sum is σ = 14404319354880. Its totient is φ = 685200384000.

The previous prime is 3201880967963. The next prime is 3201880968059. The reversal of 3201880968000 is 8690881023.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 710421747 + ... + 710426253.

It is an arithmetic number, because the mean of its divisors is an integer number (8038124640).

Almost surely, 2^{3201880968000} is an apocalyptic number.

3201880968000 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 3201880968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7202159677440).

3201880968000 is an abundant number, since it is smaller than the sum of its proper divisors (11202438386880).

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

3201880968000 is a wasteful number, since it uses less digits than its factorization.

3201880968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4590 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

It can be divided in two parts, 32018 and 80968000, that added together give a palindrome (81000018).

The spelling of 3201880968000 in words is "three trillion, two hundred one billion, eight hundred eighty million, nine hundred sixty-eight thousand".