34064414144 has 56 divisors (see below), whose sum is σ = 68089241520. Its totient is φ = 16908376064.

The previous prime is 34064414093. The next prime is 34064414147. The reversal of 34064414144 is 44141446043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34064414147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8955347 + ... + 8959149.

Almost surely, 2^34064414144 is an apocalyptic number.

It is an amenable number.

34064414144 is a deficient number, since it is larger than the sum of its proper divisors (34024827376).

34064414144 is a wasteful number, since it uses less digits than its factorization.

34064414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4797 (or 4787 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

The spelling of 34064414144 in words is "thirty-four billion, sixty-four million, four hundred fourteen thousand, one hundred forty-four".