346563861630 has 192 divisors, whose sum is σ = 973499005440. Its totient is φ = 78729235200.

The previous prime is 346563861613. The next prime is 346563861643. The reversal of 346563861630 is 36168365643.

It is a Curzon number.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 189274815 + ... + 189276645.

It is an arithmetic number, because the mean of its divisors is an integer number (5070307320).

Almost surely, 2^346563861630 is an apocalyptic number.

346563861630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 346563861630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486749502720).

346563861630 is an abundant number, since it is smaller than the sum of its proper divisors (626935143810).

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

346563861630 is a wasteful number, since it uses less digits than its factorization.

346563861630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 51.

The spelling of 346563861630 in words is "three hundred forty-six billion, five hundred sixty-three million, eight hundred sixty-one thousand, six hundred thirty".