34106752 has 64 divisors (see below), whose sum is σ = 71371440. Its totient is φ = 16220160.

The previous prime is 34106741. The next prime is 34106771. The reversal of 34106752 is 25760143.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 34106752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351568 + ... + 351664.

Almost surely, 2^34106752 is an apocalyptic number.

34106752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34106752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35685720).

34106752 is an abundant number, since it is smaller than the sum of its proper divisors (37264688).

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

34106752 is an equidigital number, since it uses as much as digits as its factorization.

34106752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 34106752 is about 5840.0986293041. The cubic root of 34106752 is about 324.2998798554.

Adding to 34106752 its reverse (25760143), we get a palindrome (59866895).

The spelling of 34106752 in words is "thirty-four million, one hundred six thousand, seven hundred fifty-two".