3144113280 has 1024 divisors, whose sum is σ = 14805504000. Its totient is φ = 610467840.

The previous prime is 3144113267. The next prime is 3144113309. The reversal of 3144113280 is 823114413.

3144113280 is digitally balanced in base 2 and base 4, because in such bases 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22619451 + ... + 22619589.

It is an arithmetic number, because the mean of its divisors is an integer number (14458500).

Almost surely, 2^3144113280 is an apocalyptic number.

3144113280 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 3144113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402752000).

3144113280 is an abundant number, since it is smaller than the sum of its proper divisors (11661390720).

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

3144113280 is a wasteful number, since it uses less digits than its factorization.

3144113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3144113280 is about 56072.3932073529. The cubic root of 3144113280 is about 1464.9834832168.

Adding to 3144113280 its reverse (823114413), we get a palindrome (3967227693).

The spelling of 3144113280 in words is "three billion, one hundred forty-four million, one hundred thirteen thousand, two hundred eighty".