386368203804672 has 208 divisors, whose sum is σ = 1081445510338560. Its totient is φ = 122522441318400.

The previous prime is 386368203804637. The next prime is 386368203804673. The reversal of 386368203804672 is 276408302863683.

It is a super-2 number, since 2×386368203804672² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386368203804673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13879147 + ... + 31070357.

Almost surely, 2^{386368203804672} is an apocalyptic number.

386368203804672 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 386368203804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540722755169280).

386368203804672 is an abundant number, since it is smaller than the sum of its proper divisors (695077306533888).

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

386368203804672 is a wasteful number, since it uses less digits than its factorization.

386368203804672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17191328 (or 17191306 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 66.

The spelling of 386368203804672 in words is "three hundred eighty-six trillion, three hundred sixty-eight billion, two hundred three million, eight hundred four thousand, six hundred seventy-two".