34111443744 has 144 divisors (see below), whose sum is σ = 113858716608. Its totient is φ = 9482697216.

The previous prime is 34111443731. The next prime is 34111443757. The reversal of 34111443744 is 44734411143.

34111443744 is a `hidden beast` number, since 34 + 111 + 443 + 74 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34111443731) and next prime (34111443757).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34111443699 and 34111443708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154062 + ... + 303245.

It is an arithmetic number, because the mean of its divisors is an integer number (790685532).

Almost surely, 2^34111443744 is an apocalyptic number.

It is an amenable number.

34111443744 is an abundant number, since it is smaller than the sum of its proper divisors (79747272864).

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

34111443744 is a wasteful number, since it uses less digits than its factorization.

34111443744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457367 (or 457356 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

Adding to 34111443744 its reverse (44734411143), we get a palindrome (78845854887).

The spelling of 34111443744 in words is "thirty-four billion, one hundred eleven million, four hundred forty-three thousand, seven hundred forty-four".