344440997379648 has 896 divisors, whose sum is σ = 1139941002816000. Its totient is φ = 101254598000640.

The previous prime is 344440997379571. The next prime is 344440997379667. The reversal of 344440997379648 is 846973799044443.

344440997379648 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 409 + 97 + 37 + 96 + 4 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62274630643 + ... + 62274636173.

It is an arithmetic number, because the mean of its divisors is an integer number (1272255583500).

Almost surely, 2^{344440997379648} 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 344440997379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569970501408000).

344440997379648 is an abundant number, since it is smaller than the sum of its proper divisors (795500005436352).

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

344440997379648 is a wasteful number, since it uses less digits than its factorization.

344440997379648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6580 (or 6564 counting only the distinct ones).

The product of its (nonzero) digits is 15801827328, while the sum is 81.

The spelling of 344440997379648 in words is "three hundred forty-four trillion, four hundred forty billion, nine hundred ninety-seven million, three hundred seventy-nine thousand, six hundred forty-eight".