3249863468544 has 1280 divisors, whose sum is σ = 11617613568000. Its totient is φ = 799123046400.

The previous prime is 3249863468531. The next prime is 3249863468587. The reversal of 3249863468544 is 4458643689423.

It is a happy number.

It is a super-2 number, since 2×3249863468544² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 127 ways as a sum of consecutive naturals, for example, 10251935074 + ... + 10251935390.

It is an arithmetic number, because the mean of its divisors is an integer number (9076260600).

Almost surely, 2^{3249863468544} 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 3249863468544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808806784000).

3249863468544 is an abundant number, since it is smaller than the sum of its proper divisors (8367750099456).

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

3249863468544 is a wasteful number, since it uses less digits than its factorization.

3249863468544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 430 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 66.

The spelling of 3249863468544 in words is "three trillion, two hundred forty-nine billion, eight hundred sixty-three million, four hundred sixty-eight thousand, five hundred forty-four".