34343011034343 has 48 divisors (see below), whose sum is σ = 54267225292800. Its totient is φ = 20755901851200.

The previous prime is 34343011034341. The next prime is 34343011034347.

34343011034343 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 301 + 1 + 0 + 3 + 4 + 343 = 666.

34343011034343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34343011034343 - 2¹ = 34343011034341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34343011034298 and 34343011034307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34343011034341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220637058 + ... + 220792656.

It is an arithmetic number, because the mean of its divisors is an integer number (1130567193600).

Almost surely, 2^{34343011034343} is an apocalyptic number.

34343011034343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34343011034343 is a deficient number, since it is larger than the sum of its proper divisors (19924214258457).

34343011034343 is a wasteful number, since it uses less digits than its factorization.

34343011034343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161820 (or 161817 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 3434301 and 1034343, that added together give a palindrome (4468644).

The spelling of 34343011034343 in words is "thirty-four trillion, three hundred forty-three billion, eleven million, thirty-four thousand, three hundred forty-three".