386680320 has 240 divisors, whose sum is σ = 1443313872. Its totient is φ = 95109120.

The previous prime is 386680319. The next prime is 386680337. The reversal of 386680320 is 23086683.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298875 + ... + 300165.

Almost surely, 2^386680320 is an apocalyptic number.

386680320 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 386680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721656936).

386680320 is an abundant number, since it is smaller than the sum of its proper divisors (1056633552).

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

386680320 is a wasteful number, since it uses less digits than its factorization.

386680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 386680320 is about 19664.1887704527. The cubic root of 386680320 is about 728.5354511811.

The spelling of 386680320 in words is "three hundred eighty-six million, six hundred eighty thousand, three hundred twenty".