3444441000 has 1024 divisors, whose sum is σ = 15297085440. Its totient is φ = 622080000.

The previous prime is 3444440971. The next prime is 3444441019. The reversal of 3444441000 is 1444443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 93092982 + ... + 93093018.

It is an arithmetic number, because the mean of its divisors is an integer number (14938560).

Almost surely, 2^3444441000 is an apocalyptic number.

3444441000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7648542720).

3444441000 is an abundant number, since it is smaller than the sum of its proper divisors (11852644440).

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

3444441000 is a wasteful number, since it uses less digits than its factorization.

3444441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3444441000 is about 58689.3601941613. The cubic root of 3444441000 is about 1510.2177952882.

Adding to 3444441000 its reverse (1444443), we get a palindrome (3445885443).

It can be divided in two parts, 3444 and 441000, that added together give a palindrome (444444).

The spelling of 3444441000 in words is "three billion, four hundred forty-four million, four hundred forty-one thousand".