3224556840960 has 2304 divisors, whose sum is σ = 14612930841600. Its totient is φ = 639048351744.

The previous prime is 3224556840929. The next prime is 3224556840971. The reversal of 3224556840960 is 690486554223.

3224556840960 is a `hidden beast` number, since 3 + 2 + 2 + 4 + 556 + 84 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a junction number, because it is equal to n+sod(n) for n = 3224556840897 and 3224556840906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14081034126 + ... + 14081034354.

It is an arithmetic number, because the mean of its divisors is an integer number (6342417900).

Almost surely, 2^{3224556840960} is an apocalyptic number.

3224556840960 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 3224556840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7306465420800).

3224556840960 is an abundant number, since it is smaller than the sum of its proper divisors (11388374000640).

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

3224556840960 is a wasteful number, since it uses less digits than its factorization.

3224556840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 3224556840960 in words is "three trillion, two hundred twenty-four billion, five hundred fifty-six million, eight hundred forty thousand, nine hundred sixty".