3144054528 has 252 divisors, whose sum is σ = 9972986688. Its totient is φ = 985374720.

The previous prime is 3144054493. The next prime is 3144054541. The reversal of 3144054528 is 8254504413.

It is a happy number.

3144054528 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 (36).

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3144054492 and 3144054501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3172113 + ... + 3173103.

It is an arithmetic number, because the mean of its divisors is an integer number (39575344).

Almost surely, 2^3144054528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144054528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986493344).

3144054528 is an abundant number, since it is smaller than the sum of its proper divisors (6828932160).

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

3144054528 is an frugal number, since it uses more digits than its factorization.

3144054528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 3144054528 is about 56071.8693107337. The cubic root of 3144054528 is about 1464.9743580955.

The spelling of 3144054528 in words is "three billion, one hundred forty-four million, fifty-four thousand, five hundred twenty-eight".