386563968 has 384 divisors, whose sum is σ = 1421472000. Its totient is φ = 101025792.

The previous prime is 386563963. The next prime is 386563979. The reversal of 386563968 is 869365683.

386563968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (5598720) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386563963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13329778 + ... + 13329806.

It is an arithmetic number, because the mean of its divisors is an integer number (3701750).

Almost surely, 2^386563968 is an apocalyptic number.

386563968 is a gapful number since it is divisible by the number (38) 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 386563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710736000).

386563968 is an abundant number, since it is smaller than the sum of its proper divisors (1034908032).

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

386563968 is a wasteful number, since it uses less digits than its factorization.

386563968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 60 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 386563968 is about 19661.2300734211. The cubic root of 386563968 is about 728.4623718130.

It can be divided in two parts, 38656 and 3968, that added together give a palindrome (42624).

The spelling of 386563968 in words is "three hundred eighty-six million, five hundred sixty-three thousand, nine hundred sixty-eight".