386995200 has 132 divisors (see below), whose sum is σ = 1279293120. Its totient is φ = 103178240.

The previous prime is 386995199. The next prime is 386995237. The reversal of 386995200 is 2599683.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74281 + ... + 79319.

Almost surely, 2^386995200 is an apocalyptic number.

386995200 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 386995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639646560).

386995200 is an abundant number, since it is smaller than the sum of its proper divisors (892297920).

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

386995200 is a wasteful number, since it uses less digits than its factorization.

386995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 386995200 is about 19672.1935736714. The cubic root of 386995200 is about 728.7331502370.

The spelling of 386995200 in words is "three hundred eighty-six million, nine hundred ninety-five thousand, two hundred".