346636128964608 has 936 divisors, whose sum is σ = 1165794175223808. Its totient is φ = 97207490838528.

The previous prime is 346636128964589. The next prime is 346636128964663. The reversal of 346636128964608 is 806469821636643.

346636128964608 is a `hidden beast` number, since 3 + 4 + 6 + 6 + 3 + 6 + 1 + 2 + 8 + 9 + 6 + 4 + 608 = 666.

It is a super-2 number, since 2×346636128964608² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 347679165966 + ... + 347679166962.

Almost surely, 2^{346636128964608} 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 346636128964608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582897087611904).

346636128964608 is an abundant number, since it is smaller than the sum of its proper divisors (819158046259200).

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

346636128964608 is a wasteful number, since it uses less digits than its factorization.

346636128964608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 1289945088, while the sum is 72.

The spelling of 346636128964608 in words is "three hundred forty-six trillion, six hundred thirty-six billion, one hundred twenty-eight million, nine hundred sixty-four thousand, six hundred eight".