344808672 has 144 divisors (see below), whose sum is σ = 1001086128. Its totient is φ = 103833600.

The previous prime is 344808649. The next prime is 344808721. The reversal of 344808672 is 276808443.

It is a super-3 number, since 3×344808672³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859672 + ... + 860072.

It is an arithmetic number, because the mean of its divisors is an integer number (6951987).

Almost surely, 2^344808672 is an apocalyptic number.

344808672 is a gapful number since it is divisible by the number (32) 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 344808672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500543064).

344808672 is an abundant number, since it is smaller than the sum of its proper divisors (656277456).

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

344808672 is a wasteful number, since it uses less digits than its factorization.

344808672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 344808672 is about 18569.0245301147. The cubic root of 344808672 is about 701.2282327756.

The spelling of 344808672 in words is "three hundred forty-four million, eight hundred eight thousand, six hundred seventy-two".