386327760 has 480 divisors, whose sum is σ = 1587398400. Its totient is φ = 77220864.

The previous prime is 386327749. The next prime is 386327783. The reversal of 386327760 is 67723683.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20333031 + ... + 20333049.

It is an arithmetic number, because the mean of its divisors is an integer number (3307080).

Almost surely, 2^386327760 is an apocalyptic number.

386327760 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 386327760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793699200).

386327760 is an abundant number, since it is smaller than the sum of its proper divisors (1201070640).

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

386327760 is a wasteful number, since it uses less digits than its factorization.

386327760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 386327760 is about 19655.2222068335. Note that the first 4 decimals coincide. The cubic root of 386327760 is about 728.3139671389.

The spelling of 386327760 in words is "three hundred eighty-six million, three hundred twenty-seven thousand, seven hundred sixty".