3004009344 has 288 divisors, whose sum is σ = 10502715600. Its totient is φ = 807174144.

The previous prime is 3004009303. The next prime is 3004009357. The reversal of 3004009344 is 4439004003.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2329852 + ... + 2331140.

Almost surely, 2^3004009344 is an apocalyptic number.

3004009344 is a gapful number since it is divisible by the number (34) 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 3004009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251357800).

3004009344 is an abundant number, since it is smaller than the sum of its proper divisors (7498706256).

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

3004009344 is a wasteful number, since it uses less digits than its factorization.

3004009344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3004009344 is about 54808.8436659633. The cubic root of 3004009344 is about 1442.8917814830.

The spelling of 3004009344 in words is "three billion, four million, nine thousand, three hundred forty-four".