344683413504 has 320 divisors, whose sum is σ = 1090497157200. Its totient is φ = 108121817088.

The previous prime is 344683413479. The next prime is 344683413509. The reversal of 344683413504 is 405314386443.

344683413504 is a `hidden beast` number, since 3 + 44 + 68 + 3 + 41 + 3 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 344683413504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344683413509) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45117717 + ... + 45125355.

Almost surely, 2^344683413504 is an apocalyptic number.

344683413504 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 344683413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545248578600).

344683413504 is an abundant number, since it is smaller than the sum of its proper divisors (745813743696).

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

344683413504 is an frugal number, since it uses more digits than its factorization.

344683413504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7698 (or 7661 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

Adding to 344683413504 its reverse (405314386443), we get a palindrome (749997799947).

The spelling of 344683413504 in words is "three hundred forty-four billion, six hundred eighty-three million, four hundred thirteen thousand, five hundred four".