386161800 has 192 divisors, whose sum is σ = 1281614400. Its totient is φ = 96179200.

The previous prime is 386161799. The next prime is 386161889. The reversal of 386161800 is 8161683.

It is a Cunningham number, because it is equal to 19651²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2947735 + ... + 2947865.

It is an arithmetic number, because the mean of its divisors is an integer number (6675075).

Almost surely, 2^386161800 is an apocalyptic number.

386161800 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 386161800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640807200).

386161800 is an abundant number, since it is smaller than the sum of its proper divisors (895452600).

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

386161800 is a wasteful number, since it uses less digits than its factorization.

386161800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 386161800 is about 19650.9999745560. Note that the first 4 decimals coincide. The cubic root of 386161800 is about 728.2096616668.

The spelling of 386161800 in words is "three hundred eighty-six million, one hundred sixty-one thousand, eight hundred".