34410768 has 80 divisors (see below), whose sum is σ = 103802880. Its totient is φ = 9618048.

The previous prime is 34410757. The next prime is 34410821. The reversal of 34410768 is 86701443.

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, 14703 + ... + 16881.

It is an arithmetic number, because the mean of its divisors is an integer number (1297536).

Almost surely, 2^34410768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34410768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51901440).

34410768 is an abundant number, since it is smaller than the sum of its proper divisors (69392112).

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

34410768 is a wasteful number, since it uses less digits than its factorization.

34410768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 34410768 is about 5866.0692120022. The cubic root of 34410768 is about 325.2605972990.

The spelling of 34410768 in words is "thirty-four million, four hundred ten thousand, seven hundred sixty-eight".