34106688 has 168 divisors, whose sum is σ = 122041920. Its totient is φ = 8847360.

The previous prime is 34106663. The next prime is 34106689. The reversal of 34106688 is 88660143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34106689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43968 + ... + 44736.

It is an arithmetic number, because the mean of its divisors is an integer number (726440).

Almost surely, 2^34106688 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 34106688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61020960).

34106688 is an abundant number, since it is smaller than the sum of its proper divisors (87935232).

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

34106688 is a wasteful number, since it uses less digits than its factorization.

34106688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34106688 is about 5840.0931499420. The cubic root of 34106688 is about 324.2996770098.

The spelling of 34106688 in words is "thirty-four million, one hundred six thousand, six hundred eighty-eight".