3481017628417 has 8 divisors (see below), whose sum is σ = 3998918846336. Its totient is φ = 2968269656832.

The previous prime is 3481017628411. The next prime is 3481017628423. The reversal of 3481017628417 is 7148267101843.

It is a happy number.

3481017628417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3481017628411) and next prime (3481017628423).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3481017628417 - 2³¹ = 3478870144769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3481017628411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1288310133 + ... + 1288312834.

It is an arithmetic number, because the mean of its divisors is an integer number (499864855792).

Almost surely, 2^{3481017628417} is an apocalyptic number.

It is an amenable number.

3481017628417 is a deficient number, since it is larger than the sum of its proper divisors (517901217919).

3481017628417 is a wasteful number, since it uses less digits than its factorization.

3481017628417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576623167.

The product of its (nonzero) digits is 1806336, while the sum is 52.

The spelling of 3481017628417 in words is "three trillion, four hundred eighty-one billion, seventeen million, six hundred twenty-eight thousand, four hundred seventeen".