8430770348 has 144 divisors (see below), whose sum is σ = 20220426240. Its totient is φ = 2992429440.

The previous prime is 8430770303. The next prime is 8430770357.

8430770348 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8430770348² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 8430770299 and 8430770308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3478265 + ... + 3480687.

Almost surely, 2^8430770348 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 8430770348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10110213120).

8430770348 is an abundant number, since it is smaller than the sum of its proper divisors (11789655892).

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

8430770348 is a wasteful number, since it uses less digits than its factorization.

8430770348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The square root of 8430770348 is about 91819.2264615641. The cubic root of 8430770348 is about 2035.2718214941.

The spelling of 8430770348 in words is "eight billion, four hundred thirty million, seven hundred seventy thousand, three hundred forty-eight".