3000012288 has 320 divisors, whose sum is σ = 9972695040. Its totient is φ = 784982016.

The previous prime is 3000012283. The next prime is 3000012293. The reversal of 3000012288 is 8822100003.

It is an interprime number because it is at equal distance from previous prime (3000012283) and next prime (3000012293).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000012283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23622081 + ... + 23622207.

It is an arithmetic number, because the mean of its divisors is an integer number (31164672).

Almost surely, 2^3000012288 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 3000012288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986347520).

3000012288 is an abundant number, since it is smaller than the sum of its proper divisors (6972682752).

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

3000012288 is an equidigital number, since it uses as much as digits as its factorization.

3000012288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3000012288 is about 54772.3679239815. The cubic root of 3000012288 is about 1442.2515394561.

It can be divided in two parts, 30000 and 12288, that multiplied together give a square (368640000 = 19200²).

The spelling of 3000012288 in words is "three billion, twelve thousand, two hundred eighty-eight".