386111448 has 192 divisors, whose sum is σ = 1153152000. Its totient is φ = 120839040.

The previous prime is 386111443. The next prime is 386111449. The reversal of 386111448 is 844111683.

It is a happy number.

386111448 is a `hidden beast` number, since 38 + 611 + 1 + 4 + 4 + 8 = 666.

386111448 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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386111441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2591278 + ... + 2591426.

It is an arithmetic number, because the mean of its divisors is an integer number (6006000).

Almost surely, 2^386111448 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 386111448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576576000).

386111448 is an abundant number, since it is smaller than the sum of its proper divisors (767040552).

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

386111448 is a wasteful number, since it uses less digits than its factorization.

386111448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 386111448 is about 19649.7187766136. The cubic root of 386111448 is about 728.1780096437.

The spelling of 386111448 in words is "three hundred eighty-six million, one hundred eleven thousand, four hundred forty-eight".