34129986 has 48 divisors (see below), whose sum is σ = 76531392. Its totient is φ = 10135840.

The previous prime is 34129973. The next prime is 34129993. The reversal of 34129986 is 68992143.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38035 + ... + 38921.

It is an arithmetic number, because the mean of its divisors is an integer number (1594404).

Almost surely, 2^34129986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34129986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38265696).

34129986 is an abundant number, since it is smaller than the sum of its proper divisors (42401406).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34129986 is a wasteful number, since it uses less digits than its factorization.

34129986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 956 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 34129986 is about 5842.0874693897. The cubic root of 34129986 is about 324.3735023561.

The spelling of 34129986 in words is "thirty-four million, one hundred twenty-nine thousand, nine hundred eighty-six".