34033468 has 48 divisors (see below), whose sum is σ = 72737280. Its totient is φ = 13616064.

The previous prime is 34033463. The next prime is 34033471. The reversal of 34033468 is 86433043.

34033468 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 (34033463) 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, 27078 + ... + 28306.

It is an arithmetic number, because the mean of its divisors is an integer number (1515360).

Almost surely, 2^34033468 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 34033468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36368640).

34033468 is an abundant number, since it is smaller than the sum of its proper divisors (38703812).

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

34033468 is a wasteful number, since it uses less digits than its factorization.

34033468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 34033468 is about 5833.8210462783. The cubic root of 34033468 is about 324.0674426489.

The spelling of 34033468 in words is "thirty-four million, thirty-three thousand, four hundred sixty-eight".