3001424000 has 128 divisors (see below), whose sum is σ = 7535127600. Its totient is φ = 1188864000.

The previous prime is 3001423963. The next prime is 3001424003. The reversal of 3001424000 is 4241003.

It can be written as a sum of positive squares in 8 ways, for example, as 466905664 + 2534518336 = 21608^2 + 50344^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3001424003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1743140 + ... + 1744860.

Almost surely, 2^3001424000 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 3001424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767563800).

3001424000 is an abundant number, since it is smaller than the sum of its proper divisors (4533703600).

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

3001424000 is a wasteful number, since it uses less digits than its factorization.

3001424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 3001424000 is about 54785.2534903326. The cubic root of 3001424000 is about 1442.4777301433.

Adding to 3001424000 its reverse (4241003), we get a palindrome (3005665003).

The spelling of 3001424000 in words is "three billion, one million, four hundred twenty-four thousand".