344498093664 has 192 divisors, whose sum is σ = 939209354496. Its totient is φ = 110510383104.

The previous prime is 344498093659. The next prime is 344498093671. The reversal of 344498093664 is 466390894443.

344498093664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 344498093598 and 344498093607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50236924 + ... + 50243780.

It is an arithmetic number, because the mean of its divisors is an integer number (4891715388).

Almost surely, 2^344498093664 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 344498093664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469604677248).

344498093664 is an abundant number, since it is smaller than the sum of its proper divisors (594711260832).

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

344498093664 is a wasteful number, since it uses less digits than its factorization.

344498093664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7117 (or 7109 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 60.

The spelling of 344498093664 in words is "three hundred forty-four billion, four hundred ninety-eight million, ninety-three thousand, six hundred sixty-four".