8381439360 has 384 divisors, whose sum is σ = 34306272000. Its totient is φ = 1915508736.

The previous prime is 8381439349. The next prime is 8381439373. The reversal of 8381439360 is 639341838.

8381439360 is a `hidden beast` number, since 83 + 81 + 439 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1084791 + ... + 1092489.

It is an arithmetic number, because the mean of its divisors is an integer number (89339250).

Almost surely, 2^8381439360 is an apocalyptic number.

8381439360 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 8381439360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17153136000).

8381439360 is an abundant number, since it is smaller than the sum of its proper divisors (25924832640).

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

8381439360 is an equidigital number, since it uses as much as digits as its factorization.

8381439360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7740 (or 7716 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 8381439360 is about 91550.2013105378. The cubic root of 8381439360 is about 2031.2943899285.

The spelling of 8381439360 in words is "eight billion, three hundred eighty-one million, four hundred thirty-nine thousand, three hundred sixty".