344413638324 has 288 divisors, whose sum is σ = 1092041932800. Its totient is φ = 89296784640.

The previous prime is 344413638313. The next prime is 344413638337. The reversal of 344413638324 is 423836314443.

344413638324 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 1 + 3 + 638 + 3 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 344413638324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17624439 + ... + 17643969.

Almost surely, 2^344413638324 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 344413638324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546020966400).

344413638324 is an abundant number, since it is smaller than the sum of its proper divisors (747628294476).

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

344413638324 is a wasteful number, since it uses less digits than its factorization.

344413638324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19723 (or 19718 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 45.

The spelling of 344413638324 in words is "three hundred forty-four billion, four hundred thirteen million, six hundred thirty-eight thousand, three hundred twenty-four".