3242212432144 has 120 divisors (see below), whose sum is σ = 7363251846720. Its totient is φ = 1378905308928.

The previous prime is 3242212432099. The next prime is 3242212432159. The reversal of 3242212432144 is 4412342122423.

3242212432144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3242212432144² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309159669 + ... + 309170155.

It is an arithmetic number, because the mean of its divisors is an integer number (61360432056).

Almost surely, 2^{3242212432144} 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 3242212432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681625923360).

3242212432144 is an abundant number, since it is smaller than the sum of its proper divisors (4121039414576).

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

3242212432144 is a wasteful number, since it uses less digits than its factorization.

3242212432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13485 (or 13472 counting only the distinct ones).

The product of its digits is 73728, while the sum is 34.

Adding to 3242212432144 its reverse (4412342122423), we get a palindrome (7654554554567).

The spelling of 3242212432144 in words is "three trillion, two hundred forty-two billion, two hundred twelve million, four hundred thirty-two thousand, one hundred forty-four".