3281860108800 has 1920 divisors, whose sum is σ = 14921773278720. Its totient is φ = 687970713600.

The previous prime is 3281860108799. The next prime is 3281860108883. The reversal of 3281860108800 is 88010681823.

3281860108800 is a `hidden beast` number, since 3 + 28 + 18 + 601 + 0 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7579353384 + ... + 7579353816.

It is an arithmetic number, because the mean of its divisors is an integer number (7771756916).

Almost surely, 2^{3281860108800} is an apocalyptic number.

3281860108800 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 3281860108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7460886639360).

3281860108800 is an abundant number, since it is smaller than the sum of its proper divisors (11639913169920).

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

3281860108800 is a wasteful number, since it uses less digits than its factorization.

3281860108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 3281860108800 in words is "three trillion, two hundred eighty-one billion, eight hundred sixty million, one hundred eight thousand, eight hundred".