3004214400 has 768 divisors, whose sum is σ = 12521520000. Its totient is φ = 696729600.

The previous prime is 3004214399. The next prime is 3004214441. The reversal of 3004214400 is 44124003.

It is a super-2 number, since 2×3004214400² = 18050608322334720000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27561546 + ... + 27561654.

Almost surely, 2^3004214400 is an apocalyptic number.

3004214400 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 3004214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260760000).

3004214400 is an abundant number, since it is smaller than the sum of its proper divisors (9517305600).

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

3004214400 is a wasteful number, since it uses less digits than its factorization.

3004214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3004214400 is about 54810.7142810600. The cubic root of 3004214400 is about 1442.9246117054.

Adding to 3004214400 its reverse (44124003), we get a palindrome (3048338403).

The spelling of 3004214400 in words is "three billion, four million, two hundred fourteen thousand, four hundred".