386056188672 has 432 divisors, whose sum is σ = 1348883020800. Its totient is φ = 96813588480.

The previous prime is 386056188647. The next prime is 386056188697. The reversal of 386056188672 is 276881650683.

It is an interprime number because it is at equal distance from previous prime (386056188647) and next prime (386056188697).

It is a super-2 number, since 2×386056188672² (a number of 24 digits) contains 22 as substring.

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, 11988529 + ... + 12020687.

It is an arithmetic number, because the mean of its divisors is an integer number (3122414400).

Almost surely, 2^386056188672 is an apocalyptic number.

386056188672 is a gapful number since it is divisible by the number (32) 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 386056188672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674441510400).

386056188672 is an abundant number, since it is smaller than the sum of its proper divisors (962826832128).

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

386056188672 is a wasteful number, since it uses less digits than its factorization.

386056188672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32232 (or 32211 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 386056188672 in words is "three hundred eighty-six billion, fifty-six million, one hundred eighty-eight thousand, six hundred seventy-two".