395716356 has 144 divisors (see below), whose sum is σ = 1185184000. Its totient is φ = 111259008.

The previous prime is 395716337. The next prime is 395716381. The reversal of 395716356 is 653617593.

395716356 is a `hidden beast` number, since 3 + 9 + 5 + 7 + 1 + 635 + 6 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 901185 + ... + 901623.

Almost surely, 2^395716356 is an apocalyptic number.

395716356 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 395716356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592592000).

395716356 is an abundant number, since it is smaller than the sum of its proper divisors (789467644).

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

395716356 is a wasteful number, since it uses less digits than its factorization.

395716356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 524 counting only the distinct ones).

The product of its digits is 510300, while the sum is 45.

The square root of 395716356 is about 19892.6206418360. The cubic root of 395716356 is about 734.1666746003.

The spelling of 395716356 in words is "three hundred ninety-five million, seven hundred sixteen thousand, three hundred fifty-six".