34005120 has 128 divisors (see below), whose sum is σ = 110160000. Its totient is φ = 8921088.

The previous prime is 34005077. The next prime is 34005137. The reversal of 34005120 is 2150043.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34005120.

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 15 ways as a sum of consecutive naturals, for example, 170781 + ... + 170979.

It is an arithmetic number, because the mean of its divisors is an integer number (860625).

Almost surely, 2^34005120 is an apocalyptic number.

34005120 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 34005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55080000).

34005120 is an abundant number, since it is smaller than the sum of its proper divisors (76154880).

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

34005120 is a wasteful number, since it uses less digits than its factorization.

34005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 34005120 is about 5831.3909146961. The cubic root of 34005120 is about 323.9774408924.

Adding to 34005120 its reverse (2150043), we get a palindrome (36155163).

The spelling of 34005120 in words is "thirty-four million, five thousand, one hundred twenty".