34129320 has 64 divisors (see below), whose sum is σ = 107784000. Its totient is φ = 8621568.

The previous prime is 34129279. The next prime is 34129327. The reversal of 34129320 is 2392143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34129327) 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, 5205 + ... + 9764.

It is an arithmetic number, because the mean of its divisors is an integer number (1684125).

Almost surely, 2^34129320 is an apocalyptic number.

34129320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34129320 is an abundant number, since it is smaller than the sum of its proper divisors (73654680).

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

34129320 is a wasteful number, since it uses less digits than its factorization.

34129320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15002 (or 14998 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 34129320 is about 5842.0304689380. The cubic root of 34129320 is about 324.3713924406.

The spelling of 34129320 in words is "thirty-four million, one hundred twenty-nine thousand, three hundred twenty".