344728682496 has 405 divisors, whose sum is σ = 1102546276923. Its totient is φ = 103711703040.

The previous prime is 344728682461. The next prime is 344728682513. The reversal of 344728682496 is 694286827443.

The square root of 344728682496 is 587136.

It is a perfect power (a square), and thus also a powerful number.

344728682496 is a `hidden beast` number, since 3 + 4 + 47 + 28 + 6 + 82 + 496 = 666.

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 26 ways as a sum of consecutive naturals, for example, 2480062395 + ... + 2480062533.

Almost surely, 2^344728682496 is an apocalyptic number.

344728682496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

344728682496 is the 587136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344728682496

344728682496 is an abundant number, since it is smaller than the sum of its proper divisors (757817594427).

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

344728682496 is an equidigital number, since it uses as much as digits as its factorization.

344728682496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 155 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 344728682496 in words is "three hundred forty-four billion, seven hundred twenty-eight million, six hundred eighty-two thousand, four hundred ninety-six".