3144248280000 has 350 divisors, whose sum is σ = 11646954918896. Its totient is φ = 838465344000.

The previous prime is 3144248279993. The next prime is 3144248280013. The reversal of 3144248280000 is 828424413.

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 (19) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 2754777 + ... + 3725223.

Almost surely, 2^{3144248280000} is an apocalyptic number.

3144248280000 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 3144248280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823477459448).

3144248280000 is an abundant number, since it is smaller than the sum of its proper divisors (8502706638896).

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

3144248280000 is an frugal number, since it uses more digits than its factorization.

3144248280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970491 (or 970457 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 3144248280000 in words is "three trillion, one hundred forty-four billion, two hundred forty-eight million, two hundred eighty thousand".