344989065607364 has 24 divisors (see below), whose sum is σ = 661287356999640. Its totient is φ = 156749595731456.

The previous prime is 344989065607331. The next prime is 344989065607387. The reversal of 344989065607364 is 463706560989443.

It can be written as a sum of positive squares in 4 ways, for example, as 224062578438400 + 120926487168964 = 14968720^2 + 10996658^2 .

It is a super-3 number, since 3×344989065607364³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 344989065607291 and 344989065607300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87471870647 + ... + 87471874590.

It is an arithmetic number, because the mean of its divisors is an integer number (27553639874985).

Almost surely, 2^{344989065607364} is an apocalyptic number.

344989065607364 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

344989065607364 is a deficient number, since it is larger than the sum of its proper divisors (316298291392276).

344989065607364 is a wasteful number, since it uses less digits than its factorization.

344989065607364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174943745287 (or 174943745285 counting only the distinct ones).

The product of its (nonzero) digits is 2821754880, while the sum is 74.

The spelling of 344989065607364 in words is "three hundred forty-four trillion, nine hundred eighty-nine billion, sixty-five million, six hundred seven thousand, three hundred sixty-four".