386584380 has 192 divisors, whose sum is σ = 1480442880. Its totient is φ = 81554688.

The previous prime is 386584379. The next prime is 386584381. The reversal of 386584380 is 83485683.

386584380 is a `hidden beast` number, since 38 + 6 + 584 + 38 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (386584379) and next prime (386584381).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386584381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45207 + ... + 53073.

It is an arithmetic number, because the mean of its divisors is an integer number (7710640).

Almost surely, 2^386584380 is an apocalyptic number.

386584380 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 386584380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740221440).

386584380 is an abundant number, since it is smaller than the sum of its proper divisors (1093858500).

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

386584380 is a wasteful number, since it uses less digits than its factorization.

386584380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7905 (or 7897 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 386584380 is about 19661.7491592178. The cubic root of 386584380 is about 728.4751934186.

The spelling of 386584380 in words is "three hundred eighty-six million, five hundred eighty-four thousand, three hundred eighty".