386520000 has 140 divisors (see below), whose sum is σ = 1278322056. Its totient is φ = 103040000.

The previous prime is 386519999. The next prime is 386520011. The reversal of 386520000 is 25683.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118390 + ... + 121610.

Almost surely, 2^386520000 is an apocalyptic number.

386520000 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 386520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639161028).

386520000 is an abundant number, since it is smaller than the sum of its proper divisors (891802056).

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

386520000 is an equidigital number, since it uses as much as digits as its factorization.

386520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 386520000 is about 19660.1119020213. Note that the first 3 decimals coincide. The cubic root of 386520000 is about 728.4347521945.

Adding to 386520000 its reverse (25683), we get a palindrome (386545683).

The spelling of 386520000 in words is "three hundred eighty-six million, five hundred twenty thousand".