8381303840 has 288 divisors, whose sum is σ = 25223788800. Its totient is φ = 2562693120.

The previous prime is 8381303783. The next prime is 8381303851. The reversal of 8381303840 is 483031838.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8381303794 and 8381303803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13991861 + ... + 13992459.

It is an arithmetic number, because the mean of its divisors is an integer number (87582600).

Almost surely, 2^8381303840 is an apocalyptic number.

8381303840 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 8381303840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12611894400).

8381303840 is an abundant number, since it is smaller than the sum of its proper divisors (16842484960).

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

8381303840 is a wasteful number, since it uses less digits than its factorization.

8381303840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 8381303840 is about 91549.4611671745. The cubic root of 8381303840 is about 2031.2834418289.

The spelling of 8381303840 in words is "eight billion, three hundred eighty-one million, three hundred three thousand, eight hundred forty".