3144363868800 has 2304 divisors, whose sum is σ = 15034930560000. Its totient is φ = 618579763200.

The previous prime is 3144363868741. The next prime is 3144363868843. The reversal of 3144363868800 is 88683634413.

3144363868800 is a `hidden beast` number, since 3 + 1 + 443 + 63 + 8 + 68 + 80 + 0 = 666.

It is a super-2 number, since 2×3144363868800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2064584839 + ... + 2064586361.

It is an arithmetic number, because the mean of its divisors is an integer number (6525577500).

Almost surely, 2^{3144363868800} is an apocalyptic number.

3144363868800 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 3144363868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7517465280000).

3144363868800 is an abundant number, since it is smaller than the sum of its proper divisors (11890566691200).

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

3144363868800 is a wasteful number, since it uses less digits than its factorization.

3144363868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 3144363868800 in words is "three trillion, one hundred forty-four billion, three hundred sixty-three million, eight hundred sixty-eight thousand, eight hundred".