34852000 has 48 divisors (see below), whose sum is σ = 85641192. Its totient is φ = 13939200.

The previous prime is 34851977. The next prime is 34852019. The reversal of 34852000 is 25843.

It can be written as a sum of positive squares in 4 ways, for example, as 20684304 + 14167696 = 4548^2 + 3764^2 .

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, 357 + ... + 8356.

Almost surely, 2^34852000 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 34852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42820596).

34852000 is an abundant number, since it is smaller than the sum of its proper divisors (50789192).

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

34852000 is an equidigital number, since it uses as much as digits as its factorization.

34852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8738 (or 8720 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 34852000 is about 5903.5582490562. The cubic root of 34852000 is about 326.6449150217.

Adding to 34852000 its reverse (25843), we get a palindrome (34877843).

The spelling of 34852000 in words is "thirty-four million, eight hundred fifty-two thousand".