395318376 has 72 divisors (see below), whose sum is σ = 1085068530. Its totient is φ = 130021824.

The previous prime is 395318347. The next prime is 395318377. The reversal of 395318376 is 673813593.

395318376 is a `hidden beast` number, since 39 + 531 + 83 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 339517476 + 55800900 = 18426^2 + 7470^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (395318377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 495610 + ... + 496406.

Almost surely, 2^395318376 is an apocalyptic number.

395318376 is a gapful number since it is divisible by the number (36) 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 395318376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542534265).

395318376 is an abundant number, since it is smaller than the sum of its proper divisors (689750154).

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

395318376 is a wasteful number, since it uses less digits than its factorization.

395318376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 885 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 395318376 is about 19882.6149185664. The cubic root of 395318376 is about 733.9204699176.

The spelling of 395318376 in words is "three hundred ninety-five million, three hundred eighteen thousand, three hundred seventy-six".