3442405102617 has 64 divisors (see below), whose sum is σ = 5359849076736. Its totient is φ = 1945811911680.

The previous prime is 3442405102561. The next prime is 3442405102637. The reversal of 3442405102617 is 7162015042443.

3442405102617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3442405102617 - 2⁶ = 3442405102553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3442405102637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34817142 + ... + 34915872.

It is an arithmetic number, because the mean of its divisors is an integer number (83747641824).

Almost surely, 2^{3442405102617} is an apocalyptic number.

It is an amenable number.

3442405102617 is a deficient number, since it is larger than the sum of its proper divisors (1917443974119).

3442405102617 is a wasteful number, since it uses less digits than its factorization.

3442405102617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100030.

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 3442405102617 in words is "three trillion, four hundred forty-two billion, four hundred five million, one hundred two thousand, six hundred seventeen".