386146800 has 360 divisors, whose sum is σ = 1488765824. Its totient is φ = 92067840.

The previous prime is 386146781. The next prime is 386146807. The reversal of 386146800 is 8641683.

It is a happy number.

386146800 is a `hidden beast` number, since 38 + 614 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386146807) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1731489 + ... + 1731711.

Almost surely, 2^386146800 is an apocalyptic number.

386146800 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 386146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744382912).

386146800 is an abundant number, since it is smaller than the sum of its proper divisors (1102619024).

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

386146800 is a wasteful number, since it uses less digits than its factorization.

386146800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 386146800 is about 19650.6183108827. The cubic root of 386146800 is about 728.2002327294.

The spelling of 386146800 in words is "three hundred eighty-six million, one hundred forty-six thousand, eight hundred".