346750080768 has 576 divisors, whose sum is σ = 1265605555200. Its totient is φ = 91191951360.

The previous prime is 346750080757. The next prime is 346750080779. The reversal of 346750080768 is 867080057643.

346750080768 is a `hidden beast` number, since 3 + 4 + 67 + 500 + 8 + 0 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (346750080757) and next prime (346750080779).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×346750080768² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340284163 + ... + 340285181.

Almost surely, 2^346750080768 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 346750080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632802777600).

346750080768 is an abundant number, since it is smaller than the sum of its proper divisors (918855474432).

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

346750080768 is a wasteful number, since it uses less digits than its factorization.

346750080768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 346750080768 in words is "three hundred forty-six billion, seven hundred fifty million, eighty thousand, seven hundred sixty-eight".