8352840384 has 336 divisors, whose sum is σ = 29913901056. Its totient is φ = 2173132800.

The previous prime is 8352840359. The next prime is 8352840389. The reversal of 8352840384 is 4830482538.

8352840384 is a `hidden beast` number, since 8 + 3 + 528 + 40 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (8352840389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2122899 + ... + 2126829.

Almost surely, 2^8352840384 is an apocalyptic number.

8352840384 is a gapful number since it is divisible by the number (84) 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 8352840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14956950528).

8352840384 is an abundant number, since it is smaller than the sum of its proper divisors (21561060672).

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

8352840384 is a wasteful number, since it uses less digits than its factorization.

8352840384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8352840384 is about 91393.8749807666. The cubic root of 8352840384 is about 2028.9813767311.

The spelling of 8352840384 in words is "eight billion, three hundred fifty-two million, eight hundred forty thousand, three hundred eighty-four".