8343986040 has 512 divisors, whose sum is σ = 32578560000. Its totient is φ = 1881169920.

The previous prime is 8343986033. The next prime is 8343986113. The reversal of 8343986040 is 406893438.

8343986040 is a `hidden beast` number, since 8 + 3 + 4 + 39 + 8 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8269056 + ... + 8270064.

It is an arithmetic number, because the mean of its divisors is an integer number (63630000).

Almost surely, 2^8343986040 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 8343986040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16289280000).

8343986040 is an abundant number, since it is smaller than the sum of its proper divisors (24234573960).

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

8343986040 is a wasteful number, since it uses less digits than its factorization.

8343986040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 8343986040 is about 91345.4215601417. The cubic root of 8343986040 is about 2028.2641895240.

The spelling of 8343986040 in words is "eight billion, three hundred forty-three million, nine hundred eighty-six thousand, forty".