386847120 has 240 divisors, whose sum is σ = 1372537152. Its totient is φ = 89379840.

The previous prime is 386847119. The next prime is 386847157. The reversal of 386847120 is 21748683.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1396422 + ... + 1396698.

Almost surely, 2^386847120 is an apocalyptic number.

386847120 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 386847120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686268576).

386847120 is an abundant number, since it is smaller than the sum of its proper divisors (985690032).

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

386847120 is a wasteful number, since it uses less digits than its factorization.

386847120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 386847120 is about 19668.4295255112. The cubic root of 386847120 is about 728.6401907968.

The spelling of 386847120 in words is "three hundred eighty-six million, eight hundred forty-seven thousand, one hundred twenty".