38682558786312 has 320 divisors, whose sum is σ = 130446954000000. Its totient is φ = 10462054846464.

The previous prime is 38682558786259. The next prime is 38682558786457. The reversal of 38682558786312 is 21368785528683.

38682558786312 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 2 + 5 + 587 + 8 + 6 + 31 + 2 = 666.

It is a super-2 number, since 2×38682558786312² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107464138 + ... + 107823494.

It is an arithmetic number, because the mean of its divisors is an integer number (407646731250).

Almost surely, 2^{38682558786312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38682558786312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65223477000000).

38682558786312 is an abundant number, since it is smaller than the sum of its proper divisors (91764395213688).

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

38682558786312 is a wasteful number, since it uses less digits than its factorization.

38682558786312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360650 (or 360637 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 72.

The spelling of 38682558786312 in words is "thirty-eight trillion, six hundred eighty-two billion, five hundred fifty-eight million, seven hundred eighty-six thousand, three hundred twelve".