386601930 has 512 divisors, whose sum is σ = 1393459200. Its totient is φ = 74649600.

The previous prime is 386601907. The next prime is 386601973. The reversal of 386601930 is 39106683.

It is a happy number.

386601930 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×386601930² = 298922104559449800, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12471015 + ... + 12471045.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2^386601930 is an apocalyptic number.

386601930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 386601930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696729600).

386601930 is an abundant number, since it is smaller than the sum of its proper divisors (1006857270).

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

386601930 is a wasteful number, since it uses less digits than its factorization.

386601930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 386601930 is about 19662.1954521869. The cubic root of 386601930 is about 728.4862169250.

The spelling of 386601930 in words is "three hundred eighty-six million, six hundred one thousand, nine hundred thirty".