3868317292320 has 576 divisors, whose sum is σ = 14451345548640. Its totient is φ = 936516059136.

The previous prime is 3868317292243. The next prime is 3868317292337. The reversal of 3868317292320 is 232927138683.

3868317292320 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 317 + 292 + 32 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 90627489936 + 3777689802384 = 301044^2 + 1943628^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 509723086 + ... + 509730674.

Almost surely, 2^{3868317292320} is an apocalyptic number.

3868317292320 is a gapful number since it is divisible by the number (30) 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 3868317292320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7225672774320).

3868317292320 is an abundant number, since it is smaller than the sum of its proper divisors (10583028256320).

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

3868317292320 is a wasteful number, since it uses less digits than its factorization.

3868317292320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8069 (or 8058 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3868317292320 in words is "three trillion, eight hundred sixty-eight billion, three hundred seventeen million, two hundred ninety-two thousand, three hundred twenty".