849034368 has 432 divisors, whose sum is σ = 3112088850. Its totient is φ = 221405184.

The previous prime is 849034337. The next prime is 849034369. The reversal of 849034368 is 863430948.

It can be written as a sum of positive squares in 3 ways, for example, as 287913024 + 561121344 = 16968^2 + 23688^2 .

It is not an unprimeable number, because it can be changed into a prime (849034369) 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 53 ways as a sum of consecutive naturals, for example, 9539668 + ... + 9539756.

Almost surely, 2^849034368 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 849034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556044425).

849034368 is an abundant number, since it is smaller than the sum of its proper divisors (2263054482).

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

849034368 is a wasteful number, since it uses less digits than its factorization.

849034368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 849034368 is about 29138.1943160519. The cubic root of 849034368 is about 946.9093904707.

The spelling of 849034368 in words is "eight hundred forty-nine million, thirty-four thousand, three hundred sixty-eight".