3144945024 has 192 divisors, whose sum is σ = 9789539760. Its totient is φ = 963366912.

The previous prime is 3144945019. The next prime is 3144945031. The reversal of 3144945024 is 4205494413.

3144945024 is a `hidden beast` number, since 3 + 144 + 9 + 4 + 502 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3144945024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5585767 + ... + 5586329.

Almost surely, 2^3144945024 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 3144945024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894769880).

3144945024 is an abundant number, since it is smaller than the sum of its proper divisors (6644594736).

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

3144945024 is a wasteful number, since it uses less digits than its factorization.

3144945024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3144945024 is about 56079.8094147974. The cubic root of 3144945024 is about 1465.1126541131.

The spelling of 3144945024 in words is "three billion, one hundred forty-four million, nine hundred forty-five thousand, twenty-four".