386955216 has 120 divisors (see below), whose sum is σ = 1146712320. Its totient is φ = 121471488.

The previous prime is 386955203. The next prime is 386955223. The reversal of 386955216 is 612559683.

386955216 is a `hidden beast` number, since 3 + 86 + 9 + 552 + 16 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (388800) is a multiple of the sum of its prime divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637185 + ... + 637791.

It is an arithmetic number, because the mean of its divisors is an integer number (9555936).

Almost surely, 2^386955216 is an apocalyptic number.

386955216 is a gapful number since it is divisible by the number (36) 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 386955216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573356160).

386955216 is an abundant number, since it is smaller than the sum of its proper divisors (759757104).

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

386955216 is a wasteful number, since it uses less digits than its factorization.

386955216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 864 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 386955216 is about 19671.1772906453. The cubic root of 386955216 is about 728.7080520189.

The spelling of 386955216 in words is "three hundred eighty-six million, nine hundred fifty-five thousand, two hundred sixteen".