3002368000 has 128 divisors (see below), whose sum is σ = 7504019640. Its totient is φ = 1199308800.

The previous prime is 3002367989. The next prime is 3002368001. The reversal of 3002368000 is 8632003.

It can be written as a sum of positive squares in 4 ways, for example, as 1816805376 + 1185562624 = 42624^2 + 34432^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3002368001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4095634 + ... + 4096366.

Almost surely, 2^3002368000 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 3002368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752009820).

3002368000 is an abundant number, since it is smaller than the sum of its proper divisors (4501651640).

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

3002368000 is an frugal number, since it uses more digits than its factorization.

3002368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3002368000 is about 54793.8682700902. The cubic root of 3002368000 is about 1442.6289423948.

The spelling of 3002368000 in words is "three billion, two million, three hundred sixty-eight thousand".