849734340 has 192 divisors, whose sum is σ = 3082813440. Its totient is φ = 169827840.

The previous prime is 849734279. The next prime is 849734357. The reversal of 849734340 is 43437948.

849734340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 849734292 and 849734301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99645 + ... + 107835.

It is an arithmetic number, because the mean of its divisors is an integer number (16056320).

Almost surely, 2^849734340 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 849734340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541406720).

849734340 is an abundant number, since it is smaller than the sum of its proper divisors (2233079100).

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

849734340 is a wasteful number, since it uses less digits than its factorization.

849734340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 849734340 is about 29150.2030867711. The cubic root of 849734340 is about 947.1695401265.

The spelling of 849734340 in words is "eight hundred forty-nine million, seven hundred thirty-four thousand, three hundred forty".