3444144440 has 128 divisors (see below), whose sum is σ = 8989056000. Its totient is φ = 1174464000.

The previous prime is 3444144439. The next prime is 3444144481. The reversal of 3444144440 is 444414443.

3444144440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3444144397 and 3444144406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 842321 + ... + 846399.

It is an arithmetic number, because the mean of its divisors is an integer number (70227000).

Almost surely, 2^3444144440 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 3444144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494528000).

3444144440 is an abundant number, since it is smaller than the sum of its proper divisors (5544911560).

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

3444144440 is a wasteful number, since it uses less digits than its factorization.

3444144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

The square root of 3444144440 is about 58686.8336170900. The cubic root of 3444144440 is about 1510.1744517245.

Adding to 3444144440 its reverse (444414443), we get a palindrome (3888558883).

The spelling of 3444144440 in words is "three billion, four hundred forty-four million, one hundred forty-four thousand, four hundred forty".