3144340416 has 224 divisors, whose sum is σ = 9896132608. Its totient is φ = 862202880.

The previous prime is 3144340403. The next prime is 3144340427. The reversal of 3144340416 is 6140434413.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×3144340416³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6791001 + ... + 6791463.

Almost surely, 2^3144340416 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 3144340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948066304).

3144340416 is an abundant number, since it is smaller than the sum of its proper divisors (6751792192).

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

3144340416 is a wasteful number, since it uses less digits than its factorization.

3144340416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3144340416 is about 56074.4185524915. The cubic root of 3144340416 is about 1465.0187599861.

Adding to 3144340416 its reverse (6140434413), we get a palindrome (9284774829).

The spelling of 3144340416 in words is "three billion, one hundred forty-four million, three hundred forty thousand, four hundred sixteen".