3014044000344 has 512 divisors, whose sum is σ = 9563484672000. Its totient is φ = 872896518144.

The previous prime is 3014044000339. The next prime is 3014044000361. The reversal of 3014044000344 is 4430004404103.

It is a super-2 number, since 2×3014044000344² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1060161787 + ... + 1060164629.

It is an arithmetic number, because the mean of its divisors is an integer number (18678681000).

Almost surely, 2^{3014044000344} 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 3014044000344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781742336000).

3014044000344 is an abundant number, since it is smaller than the sum of its proper divisors (6549440671656).

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

3014044000344 is a wasteful number, since it uses less digits than its factorization.

3014044000344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 3014044000344 its reverse (4430004404103), we get a palindrome (7444048404447).

The spelling of 3014044000344 in words is "three trillion, fourteen billion, forty-four million, three hundred forty-four", and thus it is an aban number.