3001444040 has 96 divisors (see below), whose sum is σ = 7871369400. Its totient is φ = 1027031040.

The previous prime is 3001444031. The next prime is 3001444051. The reversal of 3001444040 is 404441003.

3001444040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2601204004 + 400240036 = 51002^2 + 20006^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1255166 + ... + 1257554.

Almost surely, 2^3001444040 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 3001444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935684700).

3001444040 is an abundant number, since it is smaller than the sum of its proper divisors (4869925360).

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

3001444040 is a wasteful number, since it uses less digits than its factorization.

3001444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3001444040 is about 54785.4363859594. The cubic root of 3001444040 is about 1442.4809405293.

Adding to 3001444040 its reverse (404441003), we get a palindrome (3405885043).

The spelling of 3001444040 in words is "three billion, one million, four hundred forty-four thousand, forty".