34010208 has 72 divisors (see below), whose sum is σ = 97297200. Its totient is φ = 11268864.

The previous prime is 34010191. The next prime is 34010213. The reversal of 34010208 is 80201043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77253 + ... + 77691.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350).

Almost surely, 2^34010208 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 34010208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48648600).

34010208 is an abundant number, since it is smaller than the sum of its proper divisors (63286992).

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

34010208 is a wasteful number, since it uses less digits than its factorization.

34010208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 34010208 is about 5831.8271579326. The cubic root of 34010208 is about 323.9935984103.

The spelling of 34010208 in words is "thirty-four million, ten thousand, two hundred eight".