34144014377 has 12 divisors (see below), whose sum is σ = 38328718848. Its totient is φ = 30379582200.

The previous prime is 34144014371. The next prime is 34144014397. The reversal of 34144014377 is 77341044143.

It is not a de Polignac number, because 34144014377 - 2¹⁰ = 34144013353 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34144014377.

It is not an unprimeable number, because it can be changed into a prime (34144014371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2996249 + ... + 3007622.

It is an arithmetic number, because the mean of its divisors is an integer number (3194059904).

Almost surely, 2^34144014377 is an apocalyptic number.

It is an amenable number.

34144014377 is a deficient number, since it is larger than the sum of its proper divisors (4184704471).

34144014377 is a wasteful number, since it uses less digits than its factorization.

34144014377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6003940 (or 6003929 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

The spelling of 34144014377 in words is "thirty-four billion, one hundred forty-four million, fourteen thousand, three hundred seventy-seven".