346777630256646 has 96 divisors (see below), whose sum is σ = 797916292992000. Its totient is φ = 108536783894784.

The previous prime is 346777630256633. The next prime is 346777630256797. The reversal of 346777630256646 is 646652036777643.

346777630256646 is a `hidden beast` number, since 3 + 467 + 7 + 7 + 63 + 0 + 2 + 5 + 66 + 46 = 666.

It is a Curzon number.

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, 1859513635 + ... + 1859700113.

It is an arithmetic number, because the mean of its divisors is an integer number (8311628052000).

Almost surely, 2^{346777630256646} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346777630256646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398958146496000).

346777630256646 is an abundant number, since it is smaller than the sum of its proper divisors (451138662735354).

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

346777630256646 is a wasteful number, since it uses less digits than its factorization.

346777630256646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234738 (or 234735 counting only the distinct ones).

The product of its (nonzero) digits is 3840721920, while the sum is 72.

The spelling of 346777630256646 in words is "three hundred forty-six trillion, seven hundred seventy-seven billion, six hundred thirty million, two hundred fifty-six thousand, six hundred forty-six".