346770077643 has 16 divisors (see below), whose sum is σ = 560436489600. Its totient is φ = 210163683240.

The previous prime is 346770077639. The next prime is 346770077663.

346770077643 is a `hidden beast` number, since 3 + 467 + 70 + 0 + 7 + 76 + 43 = 666.

346770077643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 346770077643 - 2² = 346770077639 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 346770077643.

It is not an unprimeable number, because it can be changed into a prime (346770077663) 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 15 ways as a sum of consecutive naturals, for example, 583787713 + ... + 583788306.

It is an arithmetic number, because the mean of its divisors is an integer number (35027280600).

Almost surely, 2^346770077643 is an apocalyptic number.

346770077643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

346770077643 is a deficient number, since it is larger than the sum of its proper divisors (213666411957).

346770077643 is a wasteful number, since it uses less digits than its factorization.

346770077643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167576039 (or 1167576033 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 54.

The spelling of 346770077643 in words is "three hundred forty-six billion, seven hundred seventy million, seventy-seven thousand, six hundred forty-three".