386353152 has 240 divisors, whose sum is σ = 1230809580. Its totient is φ = 120324096.

The previous prime is 386353061. The next prime is 386353159. The reversal of 386353152 is 251353683.

386353152 is a `hidden beast` number, since 3 + 8 + 635 + 3 + 15 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 372335616 + 14017536 = 19296^2 + 3744^2 .

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 (386353159) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2820028 + ... + 2820164.

Almost surely, 2^386353152 is an apocalyptic number.

386353152 is a gapful number since it is divisible by the number (32) 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 386353152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615404790).

386353152 is an abundant number, since it is smaller than the sum of its proper divisors (844456428).

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

386353152 is a wasteful number, since it uses less digits than its factorization.

386353152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 159 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 386353152 is about 19655.8681314258. The cubic root of 386353152 is about 728.3299233166.

The spelling of 386353152 in words is "three hundred eighty-six million, three hundred fifty-three thousand, one hundred fifty-two".