8384000940 has 432 divisors, whose sum is σ = 31732489152. Its totient is φ = 1781885952.

The previous prime is 8384000939. The next prime is 8384001001. The reversal of 8384000940 is 490004838.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8384000895 and 8384000904.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7505262 + ... + 7506378.

It is an arithmetic number, because the mean of its divisors is an integer number (73454836).

Almost surely, 2^8384000940 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 8384000940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15866244576).

8384000940 is an abundant number, since it is smaller than the sum of its proper divisors (23348488212).

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

8384000940 is a wasteful number, since it uses less digits than its factorization.

8384000940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8384000940 is about 91564.1902710880. The cubic root of 8384000940 is about 2031.5013071759.

The spelling of 8384000940 in words is "eight billion, three hundred eighty-four million, nine hundred forty", and thus it is an aban number.