3224608063488 has 720 divisors, whose sum is σ = 11356209656064. Its totient is φ = 860671180800.

The previous prime is 3224608063427. The next prime is 3224608063553. The reversal of 3224608063488 is 8843608064223.

3224608063488 is a `hidden beast` number, since 3 + 2 + 2 + 460 + 80 + 63 + 48 + 8 = 666.

It is a super-2 number, since 2×3224608063488² (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2649636256 + ... + 2649637472.

Almost surely, 2^{3224608063488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3224608063488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5678104828032).

3224608063488 is an abundant number, since it is smaller than the sum of its proper divisors (8131601592576).

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

3224608063488 is a wasteful number, since it uses less digits than its factorization.

3224608063488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 3224608063488 in words is "three trillion, two hundred twenty-four billion, six hundred eight million, sixty-three thousand, four hundred eighty-eight".