8038287360 has 144 divisors (see below), whose sum is σ = 27859579020. Its totient is φ = 2143518720.

The previous prime is 8038287353. The next prime is 8038287403. The reversal of 8038287360 is 637828308.

8038287360 is a `hidden beast` number, since 8 + 0 + 3 + 8 + 287 + 360 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7448380416 + 589906944 = 86304^2 + 24288^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×8038287360² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48550 + ... + 135770.

Almost surely, 2^8038287360 is an apocalyptic number.

8038287360 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 8038287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13929789510).

8038287360 is an abundant number, since it is smaller than the sum of its proper divisors (19821291660).

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

8038287360 is a wasteful number, since it uses less digits than its factorization.

8038287360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87254 (or 87231 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 8038287360 is about 89656.4964740425. The cubic root of 8038287360 is about 2003.1855368171.

The spelling of 8038287360 in words is "eight billion, thirty-eight million, two hundred eighty-seven thousand, three hundred sixty".