3144348944100 has 1152 divisors, whose sum is σ = 13062097305600. Its totient is φ = 631050393600.

The previous prime is 3144348944017. The next prime is 3144348944119. The reversal of 3144348944100 is 14498434413.

3144348944100 is a `hidden beast` number, since 3 + 144 + 3 + 4 + 8 + 94 + 410 + 0 = 666.

3144348944100 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 449381802 + ... + 449388798.

Almost surely, 2^{3144348944100} is an apocalyptic number.

3144348944100 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 3144348944100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531048652800).

3144348944100 is an abundant number, since it is smaller than the sum of its proper divisors (9917748361500).

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

3144348944100 is a wasteful number, since it uses less digits than its factorization.

3144348944100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7130 (or 7117 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3144348944100 in words is "three trillion, one hundred forty-four billion, three hundred forty-eight million, nine hundred forty-four thousand, one hundred".