34004120127 has 32 divisors (see below), whose sum is σ = 48705995520. Its totient is φ = 21038434560.

The previous prime is 34004120123. The next prime is 34004120197. The reversal of 34004120127 is 72102140043.

It is a happy number.

It is not a de Polignac number, because 34004120127 - 2² = 34004120123 is a prime.

It is a super-2 number, since 2×34004120127² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34004120097 and 34004120106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004120123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666643 + ... + 715835.

It is an arithmetic number, because the mean of its divisors is an integer number (1522062360).

Almost surely, 2^34004120127 is an apocalyptic number.

34004120127 is a deficient number, since it is larger than the sum of its proper divisors (14701875393).

34004120127 is a wasteful number, since it uses less digits than its factorization.

34004120127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49463.

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 34004120127 in words is "thirty-four billion, four million, one hundred twenty thousand, one hundred twenty-seven".