3004132424400 has 180 divisors, whose sum is σ = 10426004166240. Its totient is φ = 801038188800.

The previous prime is 3004132424389. The next prime is 3004132424431. The reversal of 3004132424400 is 44242314003.

It is a happy number.

3004132424400 is a `hidden beast` number, since 3 + 0 + 0 + 4 + 13 + 242 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60494781 + ... + 60544419.

It is an arithmetic number, because the mean of its divisors is an integer number (57922245368).

Almost surely, 2^{3004132424400} is an apocalyptic number.

3004132424400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3004132424400 is an abundant number, since it is smaller than the sum of its proper divisors (7421871741840).

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

3004132424400 is a wasteful number, since it uses less digits than its factorization.

3004132424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66474 (or 66460 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 3004132424400 its reverse (44242314003), we get a palindrome (3048374738403).

The spelling of 3004132424400 in words is "three trillion, four billion, one hundred thirty-two million, four hundred twenty-four thousand, four hundred".