395668230528 has 128 divisors (see below), whose sum is σ = 1109282803200. Its totient is φ = 124612024320.

The previous prime is 395668230521. The next prime is 395668230569. The reversal of 395668230528 is 825032866593.

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

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395668230521) 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, 2648713 + ... + 2794103.

It is an arithmetic number, because the mean of its divisors is an integer number (8666271900).

Almost surely, 2^395668230528 is an apocalyptic number.

395668230528 is a gapful number since it is divisible by the number (38) 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 395668230528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554641401600).

395668230528 is an abundant number, since it is smaller than the sum of its proper divisors (713614572672).

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

395668230528 is a wasteful number, since it uses less digits than its factorization.

395668230528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145800 (or 145788 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 395668230528 in words is "three hundred ninety-five billion, six hundred sixty-eight million, two hundred thirty thousand, five hundred twenty-eight".