344952209376 has 144 divisors (see below), whose sum is σ = 985581717120. Its totient is φ = 114443377920.

The previous prime is 344952209353. The next prime is 344952209389. The reversal of 344952209376 is 673902259443.

344952209376 is a `hidden beast` number, since 3 + 4 + 49 + 5 + 220 + 9 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59033911 + ... + 59039753.

It is an arithmetic number, because the mean of its divisors is an integer number (6844317480).

Almost surely, 2^344952209376 is an apocalyptic number.

344952209376 is a gapful number since it is divisible by the number (36) 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 344952209376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492790858560).

344952209376 is an abundant number, since it is smaller than the sum of its proper divisors (640629507744).

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

344952209376 is a wasteful number, since it uses less digits than its factorization.

344952209376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6789 (or 6778 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 344952209376 in words is "three hundred forty-four billion, nine hundred fifty-two million, two hundred nine thousand, three hundred seventy-six".