346542689584 has 80 divisors (see below), whose sum is σ = 826748209728. Its totient is φ = 137031238656.

The previous prime is 346542689579. The next prime is 346542689599. The reversal of 346542689584 is 485986245643.

It is a happy number.

It is a super-2 number, since 2×346542689584² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3203874 + ... + 3310270.

Almost surely, 2^346542689584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346542689584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413374104864).

346542689584 is an abundant number, since it is smaller than the sum of its proper divisors (480205520144).

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

346542689584 is a wasteful number, since it uses less digits than its factorization.

346542689584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108662 (or 108656 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 64.

The spelling of 346542689584 in words is "three hundred forty-six billion, five hundred forty-two million, six hundred eighty-nine thousand, five hundred eighty-four".