3213242081280 has 2016 divisors, whose sum is σ = 14390619594624. Its totient is φ = 648806400000.

The previous prime is 3213242081279. The next prime is 3213242081297. The reversal of 3213242081280 is 821802423123.

3213242081280 is a `hidden beast` number, since 3 + 2 + 1 + 324 + 208 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×3213242081280² (a number of 26 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12801761155 + ... + 12801761405.

It is an arithmetic number, because the mean of its divisors is an integer number (7138204164).

Almost surely, 2^{3213242081280} is an apocalyptic number.

3213242081280 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 3213242081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195309797312).

3213242081280 is an abundant number, since it is smaller than the sum of its proper divisors (11177377513344).

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

3213242081280 is a wasteful number, since it uses less digits than its factorization.

3213242081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 3213242081280 in words is "three trillion, two hundred thirteen billion, two hundred forty-two million, eighty-one thousand, two hundred eighty".