34852132 has 36 divisors (see below), whose sum is σ = 72696204. Its totient is φ = 14568960.

The previous prime is 34852123. The next prime is 34852141. The reversal of 34852132 is 23125843.

It is an interprime number because it is at equal distance from previous prime (34852123) and next prime (34852141).

It can be written as a sum of positive squares in 2 ways, for example, as 933156 + 33918976 = 966^2 + 5824^2 .

It is a super-2 number, since 2×34852132² = 2429342209890848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 34852132.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5868 + ... + 10204.

It is an arithmetic number, because the mean of its divisors is an integer number (2019339).

Almost surely, 2^34852132 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 34852132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36348102).

34852132 is an abundant number, since it is smaller than the sum of its proper divisors (37844072).

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

34852132 is a wasteful number, since it uses less digits than its factorization.

34852132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396 (or 4387 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 34852132 is about 5903.5694287439. The cubic root of 34852132 is about 326.6453274042.

Adding to 34852132 its reverse (23125843), we get a palindrome (57977975).

The spelling of 34852132 in words is "thirty-four million, eight hundred fifty-two thousand, one hundred thirty-two".