3004047360 has 336 divisors, whose sum is σ = 10810814040. Its totient is φ = 770703360.

The previous prime is 3004047337. The next prime is 3004047401. The reversal of 3004047360 is 637404003.

It can be written as a sum of positive squares in 4 ways, for example, as 2627997696 + 376049664 = 51264^2 + 19392^2 .

It is a super-2 number, since 2×3004047360² = 18048601082245939200, which contains 22 as substring.

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, 10690420 + ... + 10690700.

Almost surely, 2^3004047360 is an apocalyptic number.

3004047360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405407020).

3004047360 is an abundant number, since it is smaller than the sum of its proper divisors (7806766680).

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

3004047360 is a wasteful number, since it uses less digits than its factorization.

3004047360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3004047360 is about 54809.1904702122. The cubic root of 3004047360 is about 1442.8978680977.

The spelling of 3004047360 in words is "three billion, four million, forty-seven thousand, three hundred sixty".