34011323142224 has 80 divisors (see below), whose sum is σ = 66512717913600. Its totient is φ = 16847498976768.

The previous prime is 34011323142217. The next prime is 34011323142259. The reversal of 34011323142224 is 42224132311043.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4215056462 + ... + 4215064530.

It is an arithmetic number, because the mean of its divisors is an integer number (831408973920).

Almost surely, 2^{34011323142224} is an apocalyptic number.

It is an amenable number.

34011323142224 is a deficient number, since it is larger than the sum of its proper divisors (32501394771376).

34011323142224 is a wasteful number, since it uses less digits than its factorization.

34011323142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13572 (or 13566 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 34011323142224 its reverse (42224132311043), we get a palindrome (76235455453267).

The spelling of 34011323142224 in words is "thirty-four trillion, eleven billion, three hundred twenty-three million, one hundred forty-two thousand, two hundred twenty-four".