34330752 has 96 divisors (see below), whose sum is σ = 104661180. Its totient is φ = 10764288.

The previous prime is 34330741. The next prime is 34330753. The reversal of 34330752 is 25703343.

It can be written as a sum of positive squares in 2 ways, for example, as 33454656 + 876096 = 5784^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (34330753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18708 + ... + 20460.

Almost surely, 2^34330752 is an apocalyptic number.

34330752 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 34330752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52330590).

34330752 is an abundant number, since it is smaller than the sum of its proper divisors (70330428).

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

34330752 is a wasteful number, since it uses less digits than its factorization.

34330752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 34330752 is about 5859.2450025579. The cubic root of 34330752 is about 325.0082901238.

The spelling of 34330752 in words is "thirty-four million, three hundred thirty thousand, seven hundred fifty-two".