395347536 has 60 divisors (see below), whose sum is σ = 1107919540. Its totient is φ = 131604480.

The previous prime is 395347531. The next prime is 395347541. The reversal of 395347536 is 635743593.

It is an interprime number because it is at equal distance from previous prime (395347531) and next prime (395347541).

It can be written as a sum of positive squares in 2 ways, for example, as 100881936 + 294465600 = 10044^2 + 17160^2 .

It is a junction number, because it is equal to n+sod(n) for n = 395347491 and 395347500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395347531) 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 11 ways as a sum of consecutive naturals, for example, 145680 + ... + 148368.

Almost surely, 2^395347536 is an apocalyptic number.

395347536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

395347536 is an abundant number, since it is smaller than the sum of its proper divisors (712572004).

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

395347536 is a wasteful number, since it uses less digits than its factorization.

395347536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3715 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 45.

The square root of 395347536 is about 19883.3482089914. The cubic root of 395347536 is about 733.9385149466.

The spelling of 395347536 in words is "three hundred ninety-five million, three hundred forty-seven thousand, five hundred thirty-six".