395895936 has 128 divisors (see below), whose sum is σ = 1105027200. Its totient is φ = 125411328.

The previous prime is 395895931. The next prime is 395895961. The reversal of 395895936 is 639598593.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (395895931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 812685 + ... + 813171.

It is an arithmetic number, because the mean of its divisors is an integer number (8633025).

Almost surely, 2^395895936 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 395895936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552513600).

395895936 is an abundant number, since it is smaller than the sum of its proper divisors (709131264).

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

395895936 is a wasteful number, since it uses less digits than its factorization.

395895936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 594 counting only the distinct ones).

The product of its digits is 7873200, while the sum is 57.

The square root of 395895936 is about 19897.1338639514. The cubic root of 395895936 is about 734.2777151733.

The spelling of 395895936 in words is "three hundred ninety-five million, eight hundred ninety-five thousand, nine hundred thirty-six".