344631778740640 has 96 divisors (see below), whose sum is σ = 857133273971520. Its totient is φ = 130583826653184.

The previous prime is 344631778740607. The next prime is 344631778740653. The reversal of 344631778740640 is 46047877136443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23633479 + ... + 35324281.

It is an arithmetic number, because the mean of its divisors is an integer number (8928471603870).

Almost surely, 2^{344631778740640} is an apocalyptic number.

It is an amenable number.

344631778740640 is an abundant number, since it is smaller than the sum of its proper divisors (512501495230880).

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

344631778740640 is a wasteful number, since it uses less digits than its factorization.

344631778740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11700534 (or 11700526 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 64.

The spelling of 344631778740640 in words is "three hundred forty-four trillion, six hundred thirty-one billion, seven hundred seventy-eight million, seven hundred forty thousand, six hundred forty".