3004320004200 has 72 divisors (see below), whose sum is σ = 10089508020150. Its totient is φ = 801152000640.

The previous prime is 3004320004123. The next prime is 3004320004229. The reversal of 3004320004200 is 24000234003.

3004320004200 is a `hidden beast` number, since 3 + 0 + 0 + 43 + 200 + 0 + 420 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1371695385636 + 1632624618564 = 1171194^2 + 1277742^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 834531535 + ... + 834535134.

Almost surely, 2^{3004320004200} is an apocalyptic number.

3004320004200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3004320004200 is an abundant number, since it is smaller than the sum of its proper divisors (7085188015950).

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

3004320004200 is a wasteful number, since it uses less digits than its factorization.

3004320004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669066691 (or 1669066679 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 3004320004200 its reverse (24000234003), we get a palindrome (3028320238203).

The spelling of 3004320004200 in words is "three trillion, four billion, three hundred twenty million, four thousand, two hundred".