3182980320000 has 2160 divisors, whose sum is σ = 13453708810080. Its totient is φ = 737538048000.

The previous prime is 3182980319947. The next prime is 3182980320011. The reversal of 3182980320000 is 230892813.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20273759922 + ... + 20273760078.

Almost surely, 2^{3182980320000} is an apocalyptic number.

3182980320000 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 3182980320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726854405040).

3182980320000 is an abundant number, since it is smaller than the sum of its proper divisors (10270728490080).

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

3182980320000 is a wasteful number, since it uses less digits than its factorization.

3182980320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 3182980320000 in words is "three trillion, one hundred eighty-two billion, nine hundred eighty million, three hundred twenty thousand".