3440441000 has 64 divisors (see below), whose sum is σ = 8100406080. Its totient is φ = 1367668800.

The previous prime is 3440440973. The next prime is 3440441003. The reversal of 3440441000 is 1440443.

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

It is not an unprimeable number, because it can be changed into a prime (3440441003) 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, 152447 + ... + 173553.

It is an arithmetic number, because the mean of its divisors is an integer number (126568845).

Almost surely, 2^3440441000 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 3440441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050203040).

3440441000 is an abundant number, since it is smaller than the sum of its proper divisors (4659965080).

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

3440441000 is a wasteful number, since it uses less digits than its factorization.

3440441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21291 (or 21277 counting only the distinct ones).

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

The square root of 3440441000 is about 58655.2725677752. The cubic root of 3440441000 is about 1509.6329678232.

Adding to 3440441000 its reverse (1440443), we get a palindrome (3441881443).

The spelling of 3440441000 in words is "three billion, four hundred forty million, four hundred forty-one thousand".