34224877842243 has 32 divisors (see below), whose sum is σ = 51128305654272. Its totient is φ = 20181266380800.

The previous prime is 34224877842217. The next prime is 34224877842257.

34224877842243 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-34224877842243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34224877862243) 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, 54782130 + ... + 55403352.

It is an arithmetic number, because the mean of its divisors is an integer number (1597759551696).

Almost surely, 2^{34224877842243} is an apocalyptic number.

34224877842243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34224877842243 is a deficient number, since it is larger than the sum of its proper divisors (16903427812029).

34224877842243 is a wasteful number, since it uses less digits than its factorization.

34224877842243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666395.

The product of its digits is 115605504, while the sum is 60.

The spelling of 34224877842243 in words is "thirty-four trillion, two hundred twenty-four billion, eight hundred seventy-seven million, eight hundred forty-two thousand, two hundred forty-three".