34385433458343 has 32 divisors (see below), whose sum is σ = 50260226568192. Its totient is φ = 20737583714400.

The previous prime is 34385433458269. The next prime is 34385433458359.

34385433458343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34385433458343 - 2¹⁸ = 34385433196199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34385433458393) 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, 43636546 + ... + 44417552.

It is an arithmetic number, because the mean of its divisors is an integer number (1570632080256).

Almost surely, 2^{34385433458343} is an apocalyptic number.

34385433458343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34385433458343 is a deficient number, since it is larger than the sum of its proper divisors (15874793109849).

34385433458343 is a wasteful number, since it uses less digits than its factorization.

34385433458343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787555.

The product of its digits is 298598400, while the sum is 60.

The spelling of 34385433458343 in words is "thirty-four trillion, three hundred eighty-five billion, four hundred thirty-three million, four hundred fifty-eight thousand, three hundred forty-three".