3444004144 has 80 divisors (see below), whose sum is σ = 8040556800. Its totient is φ = 1396023552.

The previous prime is 3444004129. The next prime is 3444004217. The reversal of 3444004144 is 4414004443.

It is a super-2 number, since 2×3444004144² = 23722329087778345472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2014362 + ... + 2016070.

It is an arithmetic number, because the mean of its divisors is an integer number (100506960).

Almost surely, 2^3444004144 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 3444004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020278400).

3444004144 is an abundant number, since it is smaller than the sum of its proper divisors (4596552656).

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

3444004144 is a wasteful number, since it uses less digits than its factorization.

3444004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 3444004144 is about 58685.6383112598. The cubic root of 3444004144 is about 1510.1539459729.

Adding to 3444004144 its reverse (4414004443), we get a palindrome (7858008587).

The spelling of 3444004144 in words is "three billion, four hundred forty-four million, four thousand, one hundred forty-four".