3412172260224 has 2304 divisors, whose sum is σ = 13652648755200. Its totient is φ = 807648952320.

The previous prime is 3412172260213. The next prime is 3412172260331. The reversal of 3412172260224 is 4220622712143.

3412172260224 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 1 + 7 + 22 + 602 + 24 = 666.

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 26867498049 + ... + 26867498175.

It is an arithmetic number, because the mean of its divisors is an integer number (5925628800).

Almost surely, 2^{3412172260224} 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 3412172260224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6826324377600).

3412172260224 is an abundant number, since it is smaller than the sum of its proper divisors (10240476494976).

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

3412172260224 is a wasteful number, since it uses less digits than its factorization.

3412172260224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 3412172260224 its reverse (4220622712143), we get a palindrome (7632794972367).

The spelling of 3412172260224 in words is "three trillion, four hundred twelve billion, one hundred seventy-two million, two hundred sixty thousand, two hundred twenty-four".