34838127 has 32 divisors (see below), whose sum is σ = 54306560. Its totient is φ = 22044960.

The previous prime is 34838107. The next prime is 34838159. The reversal of 34838127 is 72183843.

It is not a de Polignac number, because 34838127 - 2²⁰ = 33789551 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34838091 and 34838100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34838107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42552 + ... + 43362.

It is an arithmetic number, because the mean of its divisors is an integer number (1697080).

Almost surely, 2^34838127 is an apocalyptic number.

34838127 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

34838127 is a deficient number, since it is larger than the sum of its proper divisors (19468433).

34838127 is a wasteful number, since it uses less digits than its factorization.

34838127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 34838127 is about 5902.3831627572. The cubic root of 34838127 is about 326.6015684293.

The spelling of 34838127 in words is "thirty-four million, eight hundred thirty-eight thousand, one hundred twenty-seven".