346824428643 has 256 divisors, whose sum is σ = 717299712000. Its totient is φ = 159899443200.

The previous prime is 346824428617. The next prime is 346824428663.

346824428643 is a `hidden beast` number, since 3 + 4 + 6 + 82 + 442 + 86 + 43 = 666.

346824428643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 346824428643 - 2⁵ = 346824428611 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 346824428643.

It is not an unprimeable number, because it can be changed into a prime (346824428663) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 160491483 + ... + 160493643.

It is an arithmetic number, because the mean of its divisors is an integer number (2801952000).

Almost surely, 2^346824428643 is an apocalyptic number.

346824428643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

346824428643 is an abundant number, since it is smaller than the sum of its proper divisors (370475283357).

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

346824428643 is a wasteful number, since it uses less digits than its factorization.

346824428643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2457 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 54.

The spelling of 346824428643 in words is "three hundred forty-six billion, eight hundred twenty-four million, four hundred twenty-eight thousand, six hundred forty-three".