3440023346385 has 12 divisors (see below), whose sum is σ = 5962707133812. Its totient is φ = 1834679118048.

The previous prime is 3440023346363. The next prime is 3440023346399. The reversal of 3440023346385 is 5836433200443.

3440023346385 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 0 + 2 + 3 + 3 + 4 + 638 + 5 = 666.

3440023346385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 689125778496 + 2750897567889 = 830136^2 + 1658583^2 .

It is not a de Polignac number, because 3440023346385 - 2⁸ = 3440023346129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 76444963253 = 3440023346385 / (3 + 4 + 4 + 0 + 0 + 2 + 3 + 3 + 4 + 6 + 3 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 3440023346385.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38222481582 + ... + 38222481671.

It is an arithmetic number, because the mean of its divisors is an integer number (496892261151).

Almost surely, 2^{3440023346385} is an apocalyptic number.

It is an amenable number.

3440023346385 is a deficient number, since it is larger than the sum of its proper divisors (2522683787427).

3440023346385 is a wasteful number, since it uses less digits than its factorization.

3440023346385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76444963264 (or 76444963261 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 3440023346385 in words is "three trillion, four hundred forty billion, twenty-three million, three hundred forty-six thousand, three hundred eighty-five".