34011768 has 64 divisors (see below), whose sum is σ = 97608960. Its totient is φ = 9674496.

The previous prime is 34011763. The next prime is 34011793. The reversal of 34011768 is 86711043.

It is a happy number.

34011768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34011763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74196 + ... + 74652.

It is an arithmetic number, because the mean of its divisors is an integer number (1525140).

Almost surely, 2^34011768 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 34011768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48804480).

34011768 is an abundant number, since it is smaller than the sum of its proper divisors (63597192).

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

34011768 is a wasteful number, since it uses less digits than its factorization.

34011768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 34011768 is about 5831.9609052188. The cubic root of 34011768 is about 323.9985520435.

The spelling of 34011768 in words is "thirty-four million, eleven thousand, seven hundred sixty-eight".