849829344 has 216 divisors, whose sum is σ = 2812614840. Its totient is φ = 223921152.

The previous prime is 849829289. The next prime is 849829349. The reversal of 849829344 is 443928948.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849829349) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 794442 + ... + 795510.

It is an arithmetic number, because the mean of its divisors is an integer number (13021365).

Almost surely, 2^849829344 is an apocalyptic number.

849829344 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849829344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406307420).

849829344 is an abundant number, since it is smaller than the sum of its proper divisors (1962785496).

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

849829344 is a wasteful number, since it uses less digits than its factorization.

849829344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1094 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 849829344 is about 29151.8326010561. The cubic root of 849829344 is about 947.2048380376.

The spelling of 849829344 in words is "eight hundred forty-nine million, eight hundred twenty-nine thousand, three hundred forty-four".