346336787633643 has 72 divisors (see below), whose sum is σ = 505967334490800. Its totient is φ = 228279787678080.

The previous prime is 346336787633609. The next prime is 346336787633653.

It is a happy number.

346336787633643 is a `hidden beast` number, since 3 + 4 + 63 + 367 + 87 + 63 + 36 + 43 = 666.

346336787633643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 346336787633643 - 2¹⁷ = 346336787502571 is a prime.

It is a super-2 number, since 2×346336787633643² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (346336787633653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76134705933 + ... + 76134710481.

It is an arithmetic number, because the mean of its divisors is an integer number (7027324090150).

Almost surely, 2^{346336787633643} is an apocalyptic number.

346336787633643 is a deficient number, since it is larger than the sum of its proper divisors (159630546857157).

346336787633643 is a wasteful number, since it uses less digits than its factorization.

346336787633643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5817 (or 5447 counting only the distinct ones).

The product of its digits is 5925685248, while the sum is 72.

The spelling of 346336787633643 in words is "three hundred forty-six trillion, three hundred thirty-six billion, seven hundred eighty-seven million, six hundred thirty-three thousand, six hundred forty-three".