3144744000 has 560 divisors, whose sum is σ = 12197218176. Its totient is φ = 798336000.

The previous prime is 3144743971. The next prime is 3144744007. The reversal of 3144744000 is 4474413.

3144744000 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 (27).

It is not an unprimeable number, because it can be changed into a prime (3144744007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14903895 + ... + 14904105.

Almost surely, 2^3144744000 is an apocalyptic number.

3144744000 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 3144744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098609088).

3144744000 is an abundant number, since it is smaller than the sum of its proper divisors (9052474176).

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

3144744000 is a wasteful number, since it uses less digits than its factorization.

3144744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 3144744000 is about 56078.0170833456. The cubic root of 3144744000 is about 1465.0814369186.

The spelling of 3144744000 in words is "three billion, one hundred forty-four million, seven hundred forty-four thousand".