34830752 has 48 divisors (see below), whose sum is σ = 76259232. Its totient is φ = 15525120.

The previous prime is 34830751. The next prime is 34830767. The reversal of 34830752 is 25703843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (34830751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17723 + ... + 19589.

It is an arithmetic number, because the mean of its divisors is an integer number (1588734).

Almost surely, 2^34830752 is an apocalyptic number.

34830752 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 34830752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38129616).

34830752 is an abundant number, since it is smaller than the sum of its proper divisors (41428480).

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

34830752 is a wasteful number, since it uses less digits than its factorization.

34830752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 34830752 is about 5901.7583820417. The cubic root of 34830752 is about 326.5785203422.

The spelling of 34830752 in words is "thirty-four million, eight hundred thirty thousand, seven hundred fifty-two".