346739614144 has 336 divisors, whose sum is σ = 931836510720. Its totient is φ = 126212567040.

The previous prime is 346739614139. The next prime is 346739614159. The reversal of 346739614144 is 441416937643.

It is a junction number, because it is equal to n+sod(n) for n = 346739614091 and 346739614100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47842329 + ... + 47849575.

Almost surely, 2^346739614144 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 346739614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465918255360).

346739614144 is an abundant number, since it is smaller than the sum of its proper divisors (585096896576).

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

346739614144 is a wasteful number, since it uses less digits than its factorization.

346739614144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7376 (or 7359 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 52.

The spelling of 346739614144 in words is "three hundred forty-six billion, seven hundred thirty-nine million, six hundred fourteen thousand, one hundred forty-four".