386308800 has 252 divisors, whose sum is σ = 1390075960. Its totient is φ = 101744640.

The previous prime is 386308787. The next prime is 386308807. The reversal of 386308800 is 8803683.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (386308807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2001504 + ... + 2001696.

Almost surely, 2^386308800 is an apocalyptic number.

386308800 is a gapful number since it is divisible by the number (30) 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 386308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695037980).

386308800 is an abundant number, since it is smaller than the sum of its proper divisors (1003767160).

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

386308800 is a wasteful number, since it uses less digits than its factorization.

386308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 386308800 is about 19654.7398863480. The cubic root of 386308800 is about 728.3020523348.

The spelling of 386308800 in words is "three hundred eighty-six million, three hundred eight thousand, eight hundred".