344113876665 has 240 divisors, whose sum is σ = 726453726768. Its totient is φ = 155115896832.

The previous prime is 344113876661. The next prime is 344113876709. The reversal of 344113876665 is 566678311443.

It can be written as a sum of positive squares in 24 ways, for example, as 277041164409 + 67072712256 = 526347^2 + 258984^2 .

It is not a de Polignac number, because 344113876665 - 2² = 344113876661 is a prime.

It is a super-2 number, since 2×344113876665² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (344113876661) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 43047909 + ... + 43055901.

Almost surely, 2^344113876665 is an apocalyptic number.

It is an amenable number.

344113876665 is an abundant number, since it is smaller than the sum of its proper divisors (382339850103).

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

344113876665 is a wasteful number, since it uses less digits than its factorization.

344113876665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8090 (or 8068 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 344113876665 in words is "three hundred forty-four billion, one hundred thirteen million, eight hundred seventy-six thousand, six hundred sixty-five".