386802000 has 640 divisors, whose sum is σ = 1624896000. Its totient is φ = 87091200.

The previous prime is 386801993. The next prime is 386802007. The reversal of 386802000 is 208683.

386802000 is a `hidden beast` number, since 386 + 80 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (386801993) and next prime (386802007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386802007) 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 127 ways as a sum of consecutive naturals, for example, 13337986 + ... + 13338014.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2^386802000 is an apocalyptic number.

386802000 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 386802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812448000).

386802000 is an abundant number, since it is smaller than the sum of its proper divisors (1238094000).

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

386802000 is a wasteful number, since it uses less digits than its factorization.

386802000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 386802000 is about 19667.2824762345. The cubic root of 386802000 is about 728.6118613251.

The spelling of 386802000 in words is "three hundred eighty-six million, eight hundred two thousand".