34043355142944 has 288 divisors, whose sum is σ = 104370091249536. Its totient is φ = 9687751557120.

The previous prime is 34043355142921. The next prime is 34043355142961. The reversal of 34043355142944 is 44924155334043.

It is a super-2 number, since 2×34043355142944² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6088953589 + ... + 6088959179.

It is an arithmetic number, because the mean of its divisors is an integer number (362396150172).

Almost surely, 2^{34043355142944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34043355142944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52185045624768).

34043355142944 is an abundant number, since it is smaller than the sum of its proper divisors (70326736106592).

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

34043355142944 is a wasteful number, since it uses less digits than its factorization.

34043355142944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10568 (or 10553 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 51.

The spelling of 34043355142944 in words is "thirty-four trillion, forty-three billion, three hundred fifty-five million, one hundred forty-two thousand, nine hundred forty-four".