34357655675343 has 64 divisors (see below), whose sum is σ = 61816495104000. Its totient is φ = 16392409292160.

The previous prime is 34357655675263. The next prime is 34357655675347.

It is a happy number.

34357655675343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34357655675343 - 2¹⁰ = 34357655674319 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34357655675347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28148913 + ... + 29344106.

It is an arithmetic number, because the mean of its divisors is an integer number (965882736000).

Almost surely, 2^{34357655675343} is an apocalyptic number.

34357655675343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34357655675343 is a deficient number, since it is larger than the sum of its proper divisors (27458839428657).

34357655675343 is a wasteful number, since it uses less digits than its factorization.

34357655675343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57493252.

The product of its digits is 1428840000, while the sum is 66.

The spelling of 34357655675343 in words is "thirty-four trillion, three hundred fifty-seven billion, six hundred fifty-five million, six hundred seventy-five thousand, three hundred forty-three".