8434884348 has 144 divisors (see below), whose sum is σ = 24378197760. Its totient is φ = 2519748000.

The previous prime is 8434884331. The next prime is 8434884389.

It is a happy number.

8434884348 is a `hidden beast` number, since 84 + 3 + 488 + 43 + 48 = 666.

8434884348 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8434884348² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8434884294 and 8434884303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 923283 + ... + 932373.

It is an arithmetic number, because the mean of its divisors is an integer number (169293040).

Almost surely, 2^8434884348 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 8434884348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12189098880).

8434884348 is an abundant number, since it is smaller than the sum of its proper divisors (15943313412).

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

8434884348 is a wasteful number, since it uses less digits than its factorization.

8434884348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9197 (or 9178 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 54.

The square root of 8434884348 is about 91841.6264446574. The cubic root of 8434884348 is about 2035.6028211672.

The spelling of 8434884348 in words is "eight billion, four hundred thirty-four million, eight hundred eighty-four thousand, three hundred forty-eight".