3218242124160 has 768 divisors, whose sum is σ = 12818223475200. Its totient is φ = 728818974720.

The previous prime is 3218242124137. The next prime is 3218242124161. The reversal of 3218242124160 is 614212428123.

3218242124160 is a `hidden beast` number, since 3 + 2 + 1 + 8 + 24 + 212 + 416 + 0 = 666.

3218242124160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3218242124161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2205785511 + ... + 2205786969.

It is an arithmetic number, because the mean of its divisors is an integer number (16690395150).

Almost surely, 2^{3218242124160} is an apocalyptic number.

3218242124160 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 3218242124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6409111737600).

3218242124160 is an abundant number, since it is smaller than the sum of its proper divisors (9599981351040).

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

3218242124160 is a wasteful number, since it uses less digits than its factorization.

3218242124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1944 counting only the distinct ones).

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

The spelling of 3218242124160 in words is "three trillion, two hundred eighteen billion, two hundred forty-two million, one hundred twenty-four thousand, one hundred sixty".