344002311312 has 160 divisors (see below), whose sum is σ = 1008045195264. Its totient is φ = 100143436800.

The previous prime is 344002311283. The next prime is 344002311329. The reversal of 344002311312 is 213113200443.

It is a happy number.

It is a super-2 number, since 2×344002311312² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2165713 + ... + 2319119.

Almost surely, 2^344002311312 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 344002311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504022597632).

344002311312 is an abundant number, since it is smaller than the sum of its proper divisors (664042883952).

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

344002311312 is a wasteful number, since it uses less digits than its factorization.

344002311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153597 (or 153591 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 344002311312 its reverse (213113200443), we get a palindrome (557115511755).

The spelling of 344002311312 in words is "three hundred forty-four billion, two million, three hundred eleven thousand, three hundred twelve".