386235648 has 288 divisors, whose sum is σ = 1280361600. Its totient is φ = 114130944.

The previous prime is 386235643. The next prime is 386235671. The reversal of 386235648 is 846532683.

It is a happy number.

386235648 is a `hidden beast` number, since 3 + 86 + 2 + 3 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386235643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2232490 + ... + 2232662.

It is an arithmetic number, because the mean of its divisors is an integer number (4445700).

Almost surely, 2^386235648 is an apocalyptic number.

386235648 is a gapful number since it is divisible by the number (38) 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 386235648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640180800).

386235648 is an abundant number, since it is smaller than the sum of its proper divisors (894125952).

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

386235648 is a wasteful number, since it uses less digits than its factorization.

386235648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 386235648 is about 19652.8788730812. The cubic root of 386235648 is about 728.2560786518.

The spelling of 386235648 in words is "three hundred eighty-six million, two hundred thirty-five thousand, six hundred forty-eight".