386071397712 has 1920 divisors, whose sum is σ = 1659733770240. Its totient is φ = 83510507520.

The previous prime is 386071397711. The next prime is 386071397713. The reversal of 386071397712 is 217793170683.

386071397712 is a `hidden beast` number, since 3 + 8 + 607 + 13 + 9 + 7 + 7 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (386071397711) and next prime (386071397713).

It is a super-2 number, since 2×386071397712² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386071397711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1700754943 + ... + 1700755169.

It is an arithmetic number, because the mean of its divisors is an integer number (864444672).

Almost surely, 2^386071397712 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 386071397712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829866885120).

386071397712 is an abundant number, since it is smaller than the sum of its proper divisors (1273662372528).

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

386071397712 is a wasteful number, since it uses less digits than its factorization.

386071397712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 386071397712 in words is "three hundred eighty-six billion, seventy-one million, three hundred ninety-seven thousand, seven hundred twelve".