34055733755043 has 576 divisors, whose sum is σ = 72735990620160. Its totient is φ = 15320989347840.

The previous prime is 34055733755039. The next prime is 34055733755089.

34055733755043 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 57 + 3 + 37 + 550 + 4 + 3 = 666.

34055733755043 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34055733755043 - 2² = 34055733755039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34055733755033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 52152731305 + ... + 52152731957.

Almost surely, 2^{34055733755043} is an apocalyptic number.

34055733755043 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34055733755043 is an abundant number, since it is smaller than the sum of its proper divisors (38680256865117).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34055733755043 is a wasteful number, since it uses less digits than its factorization.

34055733755043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 39690000, while the sum is 54.

The spelling of 34055733755043 in words is "thirty-four trillion, fifty-five billion, seven hundred thirty-three million, seven hundred fifty-five thousand, forty-three".