346220016440 has 128 divisors (see below), whose sum is σ = 835699939200. Its totient is φ = 128629800960.

The previous prime is 346220016431. The next prime is 346220016487. The reversal of 346220016440 is 44610022643.

It is a junction number, because it is equal to n+sod(n) for n = 346220016397 and 346220016406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23672330 + ... + 23686950.

It is an arithmetic number, because the mean of its divisors is an integer number (6528905775).

Almost surely, 2^346220016440 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 346220016440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417849969600).

346220016440 is an abundant number, since it is smaller than the sum of its proper divisors (489479922760).

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

346220016440 is a wasteful number, since it uses less digits than its factorization.

346220016440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15105 (or 15101 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 346220016440 in words is "three hundred forty-six billion, two hundred twenty million, sixteen thousand, four hundred forty".