386477568 has 100 divisors (see below), whose sum is σ = 1153657560. Its totient is φ = 128812032.

The previous prime is 386477563. The next prime is 386477591. The reversal of 386477568 is 865774683.

386477568 is a `hidden beast` number, since 3 + 8 + 6 + 4 + 77 + 568 = 666.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386477561) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 36813 + ... + 46131.

Almost surely, 2^386477568 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 386477568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576828780).

386477568 is an abundant number, since it is smaller than the sum of its proper divisors (767179992).

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

386477568 is an frugal number, since it uses more digits than its factorization.

386477568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9349 (or 9324 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 386477568 is about 19659.0327330721. The cubic root of 386477568 is about 728.4080954673.

The spelling of 386477568 in words is "three hundred eighty-six million, four hundred seventy-seven thousand, five hundred sixty-eight".