3001444000 has 96 divisors (see below), whose sum is σ = 7496051472. Its totient is φ = 1180800000.

The previous prime is 3001443997. The next prime is 3001444013. The reversal of 3001444000 is 4441003.

It can be written as a sum of positive squares in 8 ways, for example, as 115175824 + 2886268176 = 10732^2 + 53724^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237850 + ... + 250150.

Almost surely, 2^3001444000 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 3001444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748025736).

3001444000 is an abundant number, since it is smaller than the sum of its proper divisors (4494607472).

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

3001444000 is a wasteful number, since it uses less digits than its factorization.

3001444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12387 (or 12369 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3001444000 is about 54785.4360208988. The cubic root of 3001444000 is about 1442.4809341214.

Adding to 3001444000 its reverse (4441003), we get a palindrome (3005885003).

The spelling of 3001444000 in words is "three billion, one million, four hundred forty-four thousand".