386608000 has 128 divisors (see below), whose sum is σ = 977315040. Its totient is φ = 152064000.

The previous prime is 386607979. The next prime is 386608003. The reversal of 386608000 is 806683.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386608003) 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, 1167835 + ... + 1168165.

Almost surely, 2^386608000 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 386608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488657520).

386608000 is an abundant number, since it is smaller than the sum of its proper divisors (590707040).

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

386608000 is an equidigital number, since it uses as much as digits as its factorization.

386608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 386608000 is about 19662.3498087080. The cubic root of 386608000 is about 728.4900295359.

The spelling of 386608000 in words is "three hundred eighty-six million, six hundred eight thousand".