34104960 has 192 divisors, whose sum is σ = 122204160. Its totient is φ = 8755200.

The previous prime is 34104923. The next prime is 34104971. The reversal of 34104960 is 6940143.

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

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 23 ways as a sum of consecutive naturals, for example, 178465 + ... + 178655.

It is an arithmetic number, because the mean of its divisors is an integer number (636480).

Almost surely, 2^34104960 is an apocalyptic number.

34104960 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 34104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61102080).

34104960 is an abundant number, since it is smaller than the sum of its proper divisors (88099200).

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

34104960 is a wasteful number, since it uses less digits than its factorization.

34104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34104960 is about 5839.9452052224. The cubic root of 34104960 is about 324.2942000849.

The spelling of 34104960 in words is "thirty-four million, one hundred four thousand, nine hundred sixty".