3208812122880 has 4032 divisors, whose sum is σ = 15565580255232. Its totient is φ = 614873825280.

The previous prime is 3208812122851. The next prime is 3208812122983. The reversal of 3208812122880 is 882212188023.

3208812122880 is a `hidden beast` number, since 320 + 8 + 8 + 1 + 21 + 228 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 60543624934 + ... + 60543624986.

It is an arithmetic number, because the mean of its divisors is an integer number (3860510976).

Almost surely, 2^{3208812122880} is an apocalyptic number.

3208812122880 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 3208812122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7782790127616).

3208812122880 is an abundant number, since it is smaller than the sum of its proper divisors (12356768132352).

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

3208812122880 is a wasteful number, since it uses less digits than its factorization.

3208812122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 3208812122880 in words is "three trillion, two hundred eight billion, eight hundred twelve million, one hundred twenty-two thousand, eight hundred eighty".