343776677343 has 32 divisors (see below), whose sum is σ = 508293273600. Its totient is φ = 204924165600.

The previous prime is 343776677263. The next prime is 343776677371.

343776677343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343776677343 - 2²⁰ = 343775628767 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343776637343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806628 + ... + 1156806.

It is an arithmetic number, because the mean of its divisors is an integer number (15884164800).

Almost surely, 2^343776677343 is an apocalyptic number.

343776677343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

343776677343 is a deficient number, since it is larger than the sum of its proper divisors (164516596257).

343776677343 is a wasteful number, since it uses less digits than its factorization.

343776677343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350683.

The product of its digits is 112021056, while the sum is 60.

The spelling of 343776677343 in words is "three hundred forty-three billion, seven hundred seventy-six million, six hundred seventy-seven thousand, three hundred forty-three".