34112517442377 has 16 divisors (see below), whose sum is σ = 52536925259712. Its totient is φ = 19458120465920.

The previous prime is 34112517442331. The next prime is 34112517442387. The reversal of 34112517442377 is 77324471521143.

It is a cyclic number.

It is not a de Polignac number, because 34112517442377 - 2⁷ = 34112517442249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (34112517442387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30403312668 + ... + 30403313789.

It is an arithmetic number, because the mean of its divisors is an integer number (3283557828732).

Almost surely, 2^{34112517442377} is an apocalyptic number.

It is an amenable number.

34112517442377 is a deficient number, since it is larger than the sum of its proper divisors (18424407817335).

34112517442377 is a wasteful number, since it uses less digits than its factorization.

34112517442377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60806626488.

The product of its digits is 3951360, while the sum is 51.

The spelling of 34112517442377 in words is "thirty-four trillion, one hundred twelve billion, five hundred seventeen million, four hundred forty-two thousand, three hundred seventy-seven".