386681120 has 96 divisors (see below), whose sum is σ = 1059827328. Its totient is φ = 130572288.

The previous prime is 386681111. The next prime is 386681131. The reversal of 386681120 is 21186683.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72464 + ... + 77616.

It is an arithmetic number, because the mean of its divisors is an integer number (11039868).

Almost surely, 2^386681120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386681120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529913664).

386681120 is an abundant number, since it is smaller than the sum of its proper divisors (673146208).

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

386681120 is a wasteful number, since it uses less digits than its factorization.

386681120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5234 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 386681120 is about 19664.2091119882. The cubic root of 386681120 is about 728.5359536012.

The spelling of 386681120 in words is "three hundred eighty-six million, six hundred eighty-one thousand, one hundred twenty".