3004204220400 has 960 divisors, whose sum is σ = 10880303616000. Its totient is φ = 704988979200.

The previous prime is 3004204220359. The next prime is 3004204220461. The reversal of 3004204220400 is 40224024003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2753623855 + ... + 2753624945.

It is an arithmetic number, because the mean of its divisors is an integer number (11333649600).

Almost surely, 2^{3004204220400} is an apocalyptic number.

3004204220400 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 3004204220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5440151808000).

3004204220400 is an abundant number, since it is smaller than the sum of its proper divisors (7876099395600).

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

3004204220400 is a wasteful number, since it uses less digits than its factorization.

3004204220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 3004204220400 its reverse (40224024003), we get a palindrome (3044428244403).

The spelling of 3004204220400 in words is "three trillion, four billion, two hundred four million, two hundred twenty thousand, four hundred".