3004341984 has 144 divisors (see below), whose sum is σ = 10028255328. Its totient is φ = 835163136.

The previous prime is 3004341979. The next prime is 3004342031. The reversal of 3004341984 is 4891434003.

3004341984 is a `hidden beast` number, since 30 + 0 + 434 + 198 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 54454 + ... + 94730.

It is an arithmetic number, because the mean of its divisors is an integer number (69640662).

Almost surely, 2^3004341984 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 3004341984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014127664).

3004341984 is an abundant number, since it is smaller than the sum of its proper divisors (7023913344).

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

3004341984 is a wasteful number, since it uses less digits than its factorization.

3004341984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40337 (or 40326 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3004341984 is about 54811.8781287414. The cubic root of 3004341984 is about 1442.9450376208.

Adding to 3004341984 its reverse (4891434003), we get a palindrome (7895775987).

It can be divided in two parts, 30043 and 41984, that added together give a palindrome (72027).

The spelling of 3004341984 in words is "three billion, four million, three hundred forty-one thousand, nine hundred eighty-four".