395733312 has 168 divisors, whose sum is σ = 1252316520. Its totient is φ = 118702080.

The previous prime is 395733287. The next prime is 395733319. The reversal of 395733312 is 213337593.

It can be written as a sum of positive squares in 4 ways, for example, as 2742336 + 392990976 = 1656^2 + 19824^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395733319) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 306364 + ... + 307652.

It is an arithmetic number, because the mean of its divisors is an integer number (7454265).

Almost surely, 2^395733312 is an apocalyptic number.

395733312 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 395733312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626158260).

395733312 is an abundant number, since it is smaller than the sum of its proper divisors (856583208).

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

395733312 is a wasteful number, since it uses less digits than its factorization.

395733312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1348 counting only the distinct ones).

The product of its digits is 51030, while the sum is 36.

The square root of 395733312 is about 19893.0468254614. The cubic root of 395733312 is about 734.1771605221.

The spelling of 395733312 in words is "three hundred ninety-five million, seven hundred thirty-three thousand, three hundred twelve".