34383511538343 has 48 divisors (see below), whose sum is σ = 56027952314880. Its totient is φ = 20824475118480.

The previous prime is 34383511538339. The next prime is 34383511538359.

34383511538343 is a `hidden beast` number, since 3 + 4 + 3 + 8 + 3 + 511 + 5 + 3 + 83 + 43 = 666.

34383511538343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34383511538343 - 2² = 34383511538339 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34383511538343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34383511539343) 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, 1319196 + ... + 8396862.

It is an arithmetic number, because the mean of its divisors is an integer number (1167249006560).

Almost surely, 2^{34383511538343} is an apocalyptic number.

34383511538343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34383511538343 is a deficient number, since it is larger than the sum of its proper divisors (21644440776537).

34383511538343 is a wasteful number, since it uses less digits than its factorization.

34383511538343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7079185 (or 7079168 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 34383511538343 in words is "thirty-four trillion, three hundred eighty-three billion, five hundred eleven million, five hundred thirty-eight thousand, three hundred forty-three".