6852834000 has 120 divisors (see below), whose sum is σ = 23934727752. Its totient is φ = 1827417600.

The previous prime is 6852833993. The next prime is 6852834017. The reversal of 6852834000 is 4382586.

It can be written as a sum of positive squares in 4 ways, for example, as 111767184 + 6741066816 = 10572^2 + 82104^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×6852834000² = 93922667663112000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172357 + ... + 208356.

Almost surely, 2^6852834000 is an apocalyptic number.

6852834000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6852834000 is an abundant number, since it is smaller than the sum of its proper divisors (17081893752).

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

6852834000 is a wasteful number, since it uses less digits than its factorization.

6852834000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380742 (or 380723 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6852834000 is about 82781.8458359078. The cubic root of 6852834000 is about 1899.4304848942.

The spelling of 6852834000 in words is "six billion, eight hundred fifty-two million, eight hundred thirty-four thousand".