346636006694208 has 1344 divisors, whose sum is σ = 1294011454095360. Its totient is φ = 89379322214400.

The previous prime is 346636006694203. The next prime is 346636006694227. The reversal of 346636006694208 is 802496600636643.

It is a happy number.

346636006694208 is a `hidden beast` number, since 3 + 4 + 6 + 6 + 360 + 0 + 6 + 69 + 4 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×346636006694208² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346636006694203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97947442903 + ... + 97947446441.

It is an arithmetic number, because the mean of its divisors is an integer number (962806141440).

Almost surely, 2^{346636006694208} 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 346636006694208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647005727047680).

346636006694208 is an abundant number, since it is smaller than the sum of its proper divisors (947375447401152).

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

346636006694208 is a wasteful number, since it uses less digits than its factorization.

346636006694208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 63.

The spelling of 346636006694208 in words is "three hundred forty-six trillion, six hundred thirty-six billion, six million, six hundred ninety-four thousand, two hundred eight".