386638316064 has 2880 divisors, whose sum is σ = 1744161914880. Its totient is φ = 81293414400.

The previous prime is 386638315991. The next prime is 386638316081. The reversal of 386638316064 is 460613836683.

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

It is a self number, because there is not a number n which added to its sum of digits gives 386638316064.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 12472203729 + ... + 12472203759.

It is an arithmetic number, because the mean of its divisors is an integer number (605611776).

Almost surely, 2^386638316064 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 386638316064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872080957440).

386638316064 is an abundant number, since it is smaller than the sum of its proper divisors (1357523598816).

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

386638316064 is a wasteful number, since it uses less digits than its factorization.

386638316064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 386638316064 in words is "three hundred eighty-six billion, six hundred thirty-eight million, three hundred sixteen thousand, sixty-four".