34853500 has 48 divisors (see below), whose sum is σ = 83053152. Its totient is φ = 12672000.

The previous prime is 34853491. The next prime is 34853501. The reversal of 34853500 is 535843.

34853500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34853501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2332 + ... + 8668.

It is an arithmetic number, because the mean of its divisors is an integer number (1730274).

Almost surely, 2^34853500 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 34853500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41526576).

34853500 is an abundant number, since it is smaller than the sum of its proper divisors (48199652).

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

34853500 is a wasteful number, since it uses less digits than its factorization.

34853500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6367 (or 6355 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 34853500 is about 5903.6852897152. The cubic root of 34853500 is about 326.6496011262.

It can be divided in two parts, 34853 and 500, that added together give a palindrome (35353).

The spelling of 34853500 in words is "thirty-four million, eight hundred fifty-three thousand, five hundred".