343167761343 has 16 divisors (see below), whose sum is σ = 499166274816. Its totient is φ = 207974975040.

The previous prime is 343167761329. The next prime is 343167761347.

343167761343 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-343167761343 is a prime.

It is a super-2 number, since 2×343167761343² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343167761292 and 343167761301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343167761347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1384846 + ... + 1613732.

It is an arithmetic number, because the mean of its divisors is an integer number (31197892176).

Almost surely, 2^343167761343 is an apocalyptic number.

343167761343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

343167761343 is a deficient number, since it is larger than the sum of its proper divisors (155998513473).

343167761343 is a wasteful number, since it uses less digits than its factorization.

343167761343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274334.

The product of its digits is 2286144, while the sum is 48.

The spelling of 343167761343 in words is "three hundred forty-three billion, one hundred sixty-seven million, seven hundred sixty-one thousand, three hundred forty-three".