34129968 has 20 divisors (see below), whose sum is σ = 88169208. Its totient is φ = 11376640.

The previous prime is 34129967. The next prime is 34129969. The reversal of 34129968 is 86992143.

It is an interprime number because it is at equal distance from previous prime (34129967) and next prime (34129969).

It is not an unprimeable number, because it can be changed into a prime (34129961) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 355473 + ... + 355568.

Almost surely, 2^34129968 is an apocalyptic number.

It is an amenable number.

34129968 is an abundant number, since it is smaller than the sum of its proper divisors (54039240).

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

34129968 is a wasteful number, since it uses less digits than its factorization.

34129968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711052 (or 711046 counting only the distinct ones).

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

The square root of 34129968 is about 5842.0859288443. The cubic root of 34129968 is about 324.3734453317.

The spelling of 34129968 in words is "thirty-four million, one hundred twenty-nine thousand, nine hundred sixty-eight".