395630936064 has 1071 divisors, whose sum is σ = 1494351349893. Its totient is φ = 104342224896.

The previous prime is 395630936021. The next prime is 395630936069. The reversal of 395630936064 is 460639036593.

It is a happy number.

The square root of 395630936064 is 628992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 58525286400 + 337105649664 = 241920^2 + 580608^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 395630936064.

It is not an unprimeable number, because it can be changed into a prime (395630936069) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 30433148922 + ... + 30433148934.

Almost surely, 2^395630936064 is an apocalyptic number.

395630936064 is the 628992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395630936064

395630936064 is an abundant number, since it is smaller than the sum of its proper divisors (1098720413829).

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

395630936064 is an frugal number, since it uses more digits than its factorization.

395630936064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 54.

The spelling of 395630936064 in words is "three hundred ninety-five billion, six hundred thirty million, nine hundred thirty-six thousand, sixty-four".