386614080 has 224 divisors, whose sum is σ = 1411833600. Its totient is φ = 99477504.

The previous prime is 386614069. The next prime is 386614093. The reversal of 386614080 is 80416683.

It is a happy number.

386614080 is a `hidden beast` number, since 38 + 6 + 614 + 0 + 8 + 0 = 666.

386614080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249789 + ... + 251331.

Almost surely, 2^386614080 is an apocalyptic number.

386614080 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 386614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705916800).

386614080 is an abundant number, since it is smaller than the sum of its proper divisors (1025219520).

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

386614080 is a wasteful number, since it uses less digits than its factorization.

386614080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 386614080 is about 19662.5044183085. The cubic root of 386614080 is about 728.4938483879.

The spelling of 386614080 in words is "three hundred eighty-six million, six hundred fourteen thousand, eighty".