8000434120 has 256 divisors, whose sum is σ = 22579200000. Its totient is φ = 2489564160.

The previous prime is 8000434109. The next prime is 8000434147. The reversal of 8000434120 is 214340008.

It is a super-2 number, since 2×8000434120² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8000434091 and 8000434100.

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, 22923706 + ... + 22924054.

It is an arithmetic number, because the mean of its divisors is an integer number (88200000).

Almost surely, 2^8000434120 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 8000434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11289600000).

8000434120 is an abundant number, since it is smaller than the sum of its proper divisors (14578765880).

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

8000434120 is a wasteful number, since it uses less digits than its factorization.

8000434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 8000434120 is about 89445.1458716458. The cubic root of 8000434120 is about 2000.0361760123.

Adding to 8000434120 its reverse (214340008), we get a palindrome (8214774128).

The spelling of 8000434120 in words is "eight billion, four hundred thirty-four thousand, one hundred twenty".