386887200 has 144 divisors (see below), whose sum is σ = 1439282880. Its totient is φ = 88427520.

The previous prime is 386887157. The next prime is 386887201. The reversal of 386887200 is 2788683.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (386887201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5286 + ... + 28314.

It is an arithmetic number, because the mean of its divisors is an integer number (9995020).

Almost surely, 2^386887200 is an apocalyptic number.

386887200 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 386887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719641440).

386887200 is an abundant number, since it is smaller than the sum of its proper divisors (1052395680).

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

386887200 is a wasteful number, since it uses less digits than its factorization.

386887200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23059 (or 23046 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 386887200 is about 19669.4483908421. The cubic root of 386887200 is about 728.6653539589.

The spelling of 386887200 in words is "three hundred eighty-six million, eight hundred eighty-seven thousand, two hundred".