3441440000 has 180 divisors, whose sum is σ = 8701780164. Its totient is φ = 1357824000.

The previous prime is 3441439951. The next prime is 3441440003. The reversal of 3441440000 is 441443.

It can be written as a sum of positive squares in 10 ways, for example, as 2820034816 + 621405184 = 53104^2 + 24928^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441440003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21919922 + ... + 21920078.

Almost surely, 2^3441440000 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 3441440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350890082).

3441440000 is an abundant number, since it is smaller than the sum of its proper divisors (5260340164).

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

3441440000 is an equidigital number, since it uses as much as digits as its factorization.

3441440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 301 counting only the distinct ones).

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

The square root of 3441440000 is about 58663.7878081530. The cubic root of 3441440000 is about 1509.7790709330.

Adding to 3441440000 its reverse (441443), we get a palindrome (3441881443).

The spelling of 3441440000 in words is "three billion, four hundred forty-one million, four hundred forty thousand".