386864400384 has 288 divisors, whose sum is σ = 1393046665920. Its totient is φ = 100483891200.

The previous prime is 386864400379. The next prime is 386864400413. The reversal of 386864400384 is 483004468683.

386864400384 is a `hidden beast` number, since 3 + 86 + 86 + 4 + 400 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×386864400384³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 386864400384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1282974 + ... + 1555554.

It is an arithmetic number, because the mean of its divisors is an integer number (4836967590).

Almost surely, 2^386864400384 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 386864400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696523332960).

386864400384 is an abundant number, since it is smaller than the sum of its proper divisors (1006182265536).

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

386864400384 is a wasteful number, since it uses less digits than its factorization.

386864400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272627 (or 272604 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 386864400384 in words is "three hundred eighty-six billion, eight hundred sixty-four million, four hundred thousand, three hundred eighty-four".