34028160 has 128 divisors (see below), whose sum is σ = 111628800. Its totient is φ = 8810496.

The previous prime is 34028143. The next prime is 34028209. The reversal of 34028160 is 6182043.

It is a happy number.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34028160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70801 + ... + 71279.

It is an arithmetic number, because the mean of its divisors is an integer number (872100).

Almost surely, 2^34028160 is an apocalyptic number.

34028160 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 34028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55814400).

34028160 is an abundant number, since it is smaller than the sum of its proper divisors (77600640).

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

34028160 is a wasteful number, since it uses less digits than its factorization.

34028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 34028160 is about 5833.3660951461. The cubic root of 34028160 is about 324.0505941414.

The spelling of 34028160 in words is "thirty-four million, twenty-eight thousand, one hundred sixty".