8434298880 has 416 divisors, whose sum is σ = 34284249600. Its totient is φ = 1926955008.

The previous prime is 8434298863. The next prime is 8434298959. The reversal of 8434298880 is 888924348.

It is a super-2 number, since 2×8434298880² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3869631 + ... + 3871809.

Almost surely, 2^8434298880 is an apocalyptic number.

8434298880 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 8434298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17142124800).

8434298880 is an abundant number, since it is smaller than the sum of its proper divisors (25849950720).

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

8434298880 is a wasteful number, since it uses less digits than its factorization.

8434298880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The square root of 8434298880 is about 91838.4390111243. The cubic root of 8434298880 is about 2035.5557227982. Note that the first 3 decimals are identical.

The spelling of 8434298880 in words is "eight billion, four hundred thirty-four million, two hundred ninety-eight thousand, eight hundred eighty".