386100 has 144 divisors (see below), whose sum is σ = 1458240. Its totient is φ = 86400.

The previous prime is 386093. The next prime is 386117. The reversal of 386100 is 1683.

386100 = T₃₃ + T₃₄ + ... + T₁₃₂.

386100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29694 + ... + 29706.

2³⁸⁶¹⁰⁰ is an apocalyptic number.

386100 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 386100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729120).

386100 is an abundant number, since it is smaller than the sum of its proper divisors (1072140).

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

386100 is a wasteful number, since it uses less digits than its factorization.

386100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 386100 is about 621.3694553162. The cubic root of 386100 is about 72.8170812875.

Adding to 386100 its reverse (1683), we get a palindrome (387783).

The spelling of 386100 in words is "three hundred eighty-six thousand, one hundred".