3084224000 has 320 divisors, whose sum is σ = 9062044992. Its totient is φ = 1032192000.

The previous prime is 3084223991. The next prime is 3084224027. The reversal of 3084224000 is 4224803.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9151832 + ... + 9152168.

Almost surely, 2^3084224000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3084224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531022496).

3084224000 is an abundant number, since it is smaller than the sum of its proper divisors (5977820992).

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

3084224000 is a wasteful number, since it uses less digits than its factorization.

3084224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 3084224000 is about 55535.7902617762. The cubic root of 3084224000 is about 1455.6220892567.

Adding to 3084224000 its reverse (4224803), we get a palindrome (3088448803).

The spelling of 3084224000 in words is "three billion, eighty-four million, two hundred twenty-four thousand".