8984038080 has 448 divisors, whose sum is σ = 31133491200. Its totient is φ = 2189721600.

The previous prime is 8984038067. The next prime is 8984038087. The reversal of 8984038080 is 808304898.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (8984038087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45145821 + ... + 45146019.

It is an arithmetic number, because the mean of its divisors is an integer number (69494400).

Almost surely, 2^8984038080 is an apocalyptic number.

8984038080 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 8984038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15566745600).

8984038080 is an abundant number, since it is smaller than the sum of its proper divisors (22149453120).

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

8984038080 is a wasteful number, since it uses less digits than its factorization.

8984038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 8984038080 is about 94784.1657662291. The cubic root of 8984038080 is about 2078.8533867760.

The spelling of 8984038080 in words is "eight billion, nine hundred eighty-four million, thirty-eight thousand, eighty".