344373496320 has 320 divisors, whose sum is σ = 1266238169856. Its totient is φ = 78210662400.

The previous prime is 344373496273. The next prime is 344373496343. The reversal of 344373496320 is 23694373443.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×344373496320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 344373496320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8419920 + ... + 8460720.

Almost surely, 2^344373496320 is an apocalyptic number.

344373496320 is a gapful number since it is divisible by the number (30) 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 344373496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633119084928).

344373496320 is an abundant number, since it is smaller than the sum of its proper divisors (921864673536).

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

344373496320 is a wasteful number, since it uses less digits than its factorization.

344373496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40991 (or 40975 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 48.

The spelling of 344373496320 in words is "three hundred forty-four billion, three hundred seventy-three million, four hundred ninety-six thousand, three hundred twenty".