3000645144 has 288 divisors, whose sum is σ = 9791159040. Its totient is φ = 827366400.

The previous prime is 3000645119. The next prime is 3000645149. The reversal of 3000645144 is 4415460003.

3000645144 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 645 + 14 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000645149) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15710089 + ... + 15710279.

It is an arithmetic number, because the mean of its divisors is an integer number (33997080).

Almost surely, 2^3000645144 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 3000645144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895579520).

3000645144 is an abundant number, since it is smaller than the sum of its proper divisors (6790513896).

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

3000645144 is a wasteful number, since it uses less digits than its factorization.

3000645144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3000645144 is about 54778.1447659557. The cubic root of 3000645144 is about 1442.3529471926.

The spelling of 3000645144 in words is "three billion, six hundred forty-five thousand, one hundred forty-four".