3218721488640 has 1296 divisors, whose sum is σ = 13615462189056. Its totient is φ = 686975385600.

The previous prime is 3218721488621. The next prime is 3218721488701. The reversal of 3218721488640 is 468841278123.

3218721488640 is a `hidden beast` number, since 3 + 2 + 1 + 87 + 21 + 488 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2102364675 + ... + 2102366205.

Almost surely, 2^{3218721488640} is an apocalyptic number.

3218721488640 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 3218721488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807731094528).

3218721488640 is an abundant number, since it is smaller than the sum of its proper divisors (10396740700416).

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

3218721488640 is a wasteful number, since it uses less digits than its factorization.

3218721488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 3218721488640 in words is "three trillion, two hundred eighteen billion, seven hundred twenty-one million, four hundred eighty-eight thousand, six hundred forty".