344064000001 has 16 divisors (see below), whose sum is σ = 367349523840. Its totient is φ = 321298064640.

The previous prime is 344063999977. The next prime is 344064000011. The reversal of 344064000001 is 100000460443.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-344064000001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344064000011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7251511 + ... + 7298803.

It is an arithmetic number, because the mean of its divisors is an integer number (22959345240).

It is a Proth number, since it is equal to 328125 ⋅ 2²⁰ + 1 and 328125 < 2²⁰.

Almost surely, 2^344064000001 is an apocalyptic number.

It is an amenable number.

344064000001 is a deficient number, since it is larger than the sum of its proper divisors (23285523839).

344064000001 is a wasteful number, since it uses less digits than its factorization.

344064000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52776.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 344064000001 its reverse (100000460443), we get a palindrome (444064460444).

The spelling of 344064000001 in words is "three hundred forty-four billion, sixty-four million, one", and thus it is an aban number.