386876820 has 288 divisors, whose sum is σ = 1327487616. Its totient is φ = 83148800.

The previous prime is 386876801. The next prime is 386876863. The reversal of 386876820 is 28678683.

It is a happy number.

It is a super-3 number, since 3×386876820³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 386876820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9436000 + ... + 9436040.

It is an arithmetic number, because the mean of its divisors is an integer number (4609332).

Almost surely, 2^386876820 is an apocalyptic number.

386876820 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 386876820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663743808).

386876820 is an abundant number, since it is smaller than the sum of its proper divisors (940610796).

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

386876820 is a wasteful number, since it uses less digits than its factorization.

386876820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 386876820 is about 19669.1845280886. The cubic root of 386876820 is about 728.6588373187.

The spelling of 386876820 in words is "three hundred eighty-six million, eight hundred seventy-six thousand, eight hundred twenty".