34328160 has 144 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 8847360.

The previous prime is 34328137. The next prime is 34328171. The reversal of 34328160 is 6182343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44256 + ... + 45024.

It is an arithmetic number, because the mean of its divisors is an integer number (840840).

Almost surely, 2^34328160 is an apocalyptic number.

34328160 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 34328160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

34328160 is an abundant number, since it is smaller than the sum of its proper divisors (86752800).

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

34328160 is a wasteful number, since it uses less digits than its factorization.

34328160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34328160 is about 5859.0238094754. The cubic root of 34328160 is about 325.0001104536. Note that the first 3 decimals are identical.

The spelling of 34328160 in words is "thirty-four million, three hundred twenty-eight thousand, one hundred sixty".