3271380480000 has 2080 divisors, whose sum is σ = 13265173785600. Its totient is φ = 793608192000.

The previous prime is 3271380479989. The next prime is 3271380480029. The reversal of 3271380480000 is 840831723.

3271380480000 is a `hidden beast` number, since 3 + 271 + 380 + 4 + 8 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 61724159974 + ... + 61724160026.

Almost surely, 2^{3271380480000} is an apocalyptic number.

3271380480000 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 3271380480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632586892800).

3271380480000 is an abundant number, since it is smaller than the sum of its proper divisors (9993793305600).

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

3271380480000 is an equidigital number, since it uses as much as digits as its factorization.

3271380480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 3271380480000 in words is "three trillion, two hundred seventy-one billion, three hundred eighty million, four hundred eighty thousand".