6834417000 has 64 divisors (see below), whose sum is σ = 21323390400. Its totient is φ = 1822510400.

The previous prime is 6834416923. The next prime is 6834417011. The reversal of 6834417000 is 7144386.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1136070 + ... + 1142069.

It is an arithmetic number, because the mean of its divisors is an integer number (333177975).

Almost surely, 2^6834417000 is an apocalyptic number.

6834417000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6834417000 is an abundant number, since it is smaller than the sum of its proper divisors (14488973400).

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

6834417000 is a wasteful number, since it uses less digits than its factorization.

6834417000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278163 (or 2278149 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 6834417000 is about 82670.5328397005. The cubic root of 6834417000 is about 1897.7273843472.

The spelling of 6834417000 in words is "six billion, eight hundred thirty-four million, four hundred seventeen thousand".