34129920 has 192 divisors, whose sum is σ = 120294720. Its totient is φ = 8192000.

The previous prime is 34129919. The next prime is 34129937. The reversal of 34129920 is 2992143.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337870 + ... + 337970.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 2^34129920 is an apocalyptic number.

34129920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60147360).

34129920 is an abundant number, since it is smaller than the sum of its proper divisors (86164800).

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

34129920 is a wasteful number, since it uses less digits than its factorization.

34129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 34129920 is about 5842.0818207211. The cubic root of 34129920 is about 324.3732932666.

The spelling of 34129920 in words is "thirty-four million, one hundred twenty-nine thousand, nine hundred twenty".