344628648 has 256 divisors, whose sum is σ = 1197504000. Its totient is φ = 89413632.

The previous prime is 344628601. The next prime is 344628653. The reversal of 344628648 is 846826443.

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 1749286 + ... + 1749482.

It is an arithmetic number, because the mean of its divisors is an integer number (4677750).

Almost surely, 2^344628648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344628648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598752000).

344628648 is an abundant number, since it is smaller than the sum of its proper divisors (852875352).

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

344628648 is a wasteful number, since it uses less digits than its factorization.

344628648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 344628648 is about 18564.1764697495. The cubic root of 344628648 is about 701.1061748562.

The spelling of 344628648 in words is "three hundred forty-four million, six hundred twenty-eight thousand, six hundred forty-eight".