3005424000 has 384 divisors, whose sum is σ = 11207458080. Its totient is φ = 800409600.

The previous prime is 3005423987. The next prime is 3005424013. The reversal of 3005424000 is 4245003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3005423987) and next prime (3005424013).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 3887614 + ... + 3888386.

Almost surely, 2^3005424000 is an apocalyptic number.

3005424000 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 3005424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603729040).

3005424000 is an abundant number, since it is smaller than the sum of its proper divisors (8202034080).

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

3005424000 is an frugal number, since it uses more digits than its factorization.

3005424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3005424000 is about 54821.7475095422. The cubic root of 3005424000 is about 1443.1182427387.

Adding to 3005424000 its reverse (4245003), we get a palindrome (3009669003).

The spelling of 3005424000 in words is "three billion, five million, four hundred twenty-four thousand".