344874408450 has 192 divisors, whose sum is σ = 1005731379072. Its totient is φ = 77104281600.

The previous prime is 344874408383. The next prime is 344874408479. The reversal of 344874408450 is 54804478443.

It is a happy number.

344874408450 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 344874408393 and 344874408402.

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, 25583112 + ... + 25596588.

It is an arithmetic number, because the mean of its divisors is an integer number (5238184266).

Almost surely, 2^344874408450 is an apocalyptic number.

344874408450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344874408450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502865689536).

344874408450 is an abundant number, since it is smaller than the sum of its proper divisors (660856970622).

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

344874408450 is a wasteful number, since it uses less digits than its factorization.

344874408450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14709 (or 14704 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 51.

The spelling of 344874408450 in words is "three hundred forty-four billion, eight hundred seventy-four million, four hundred eight thousand, four hundred fifty".