386473032 has 288 divisors, whose sum is σ = 1254839040. Its totient is φ = 111196800.

The previous prime is 386472997. The next prime is 386473033. The reversal of 386473032 is 230374683.

386473032 is a `hidden beast` number, since 3 + 8 + 647 + 3 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×386473032² = 298722808926546048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (386473033) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 7291918 + ... + 7291970.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^386473032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386473032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627419520).

386473032 is an abundant number, since it is smaller than the sum of its proper divisors (868366008).

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

386473032 is a wasteful number, since it uses less digits than its factorization.

386473032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 386473032 is about 19658.9173659182. The cubic root of 386473032 is about 728.4052457357.

The spelling of 386473032 in words is "three hundred eighty-six million, four hundred seventy-three thousand, thirty-two".