3004242221400 has 384 divisors, whose sum is σ = 10991570780160. Its totient is φ = 664252992000.

The previous prime is 3004242221359. The next prime is 3004242221419. The reversal of 3004242221400 is 41222424003.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 537332605 + ... + 537338195.

It is an arithmetic number, because the mean of its divisors is an integer number (28623882240).

Almost surely, 2^{3004242221400} is an apocalyptic number.

3004242221400 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 3004242221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5495785390080).

3004242221400 is an abundant number, since it is smaller than the sum of its proper divisors (7987328558760).

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

3004242221400 is a wasteful number, since it uses less digits than its factorization.

3004242221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9775 (or 9766 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 3004242221400 its reverse (41222424003), we get a palindrome (3045464645403).

The spelling of 3004242221400 in words is "three trillion, four billion, two hundred forty-two million, two hundred twenty-one thousand, four hundred".