8422834320 has 120 divisors (see below), whose sum is σ = 28404642552. Its totient is φ = 2236723200.

The previous prime is 8422834313. The next prime is 8422834337. The reversal of 8422834320 is 234382248.

It is a happy number.

8422834320 is a `hidden beast` number, since 84 + 228 + 34 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 125081856 + 8297752464 = 11184^2 + 91092^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149250 + ... + 197790.

Almost surely, 2^8422834320 is an apocalyptic number.

8422834320 is a gapful number since it is divisible by the number (80) 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 8422834320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14202321276).

8422834320 is an abundant number, since it is smaller than the sum of its proper divisors (19981808232).

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

8422834320 is a wasteful number, since it uses less digits than its factorization.

8422834320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48801 (or 48792 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 8422834320 is about 91776.0007845188. Note that the first 3 decimals coincide. The cubic root of 8422834320 is about 2034.6330089779.

The spelling of 8422834320 in words is "eight billion, four hundred twenty-two million, eight hundred thirty-four thousand, three hundred twenty".