3444214144 has 192 divisors, whose sum is σ = 8537448960. Its totient is φ = 1354899456.

The previous prime is 3444214139. The next prime is 3444214199. The reversal of 3444214144 is 4414124443.

It is a super-2 number, since 2×3444214144² = 23725222139459305472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12170227 + ... + 12170509.

It is an arithmetic number, because the mean of its divisors is an integer number (44465880).

Almost surely, 2^3444214144 is an apocalyptic number.

3444214144 is a gapful number since it is divisible by the number (34) 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 3444214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268724480).

3444214144 is an abundant number, since it is smaller than the sum of its proper divisors (5093234816).

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

3444214144 is a wasteful number, since it uses less digits than its factorization.

3444214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 356 counting only the distinct ones).

The product of its digits is 24576, while the sum is 31.

The square root of 3444214144 is about 58687.4274781235. The cubic root of 3444214144 is about 1510.1846394980.

Adding to 3444214144 its reverse (4414124443), we get a palindrome (7858338587).

The spelling of 3444214144 in words is "three billion, four hundred forty-four million, two hundred fourteen thousand, one hundred forty-four".