395568935328 has 192 divisors, whose sum is σ = 1192718241792. Its totient is φ = 112448424960.

The previous prime is 395568935297. The next prime is 395568935339. The reversal of 395568935328 is 823539865593.

395568935328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233648850 + ... + 233650542.

It is an arithmetic number, because the mean of its divisors is an integer number (6212074176).

Almost surely, 2^395568935328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395568935328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596359120896).

395568935328 is an abundant number, since it is smaller than the sum of its proper divisors (797149306464).

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

395568935328 is a wasteful number, since it uses less digits than its factorization.

395568935328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3259 counting only the distinct ones).

The product of its digits is 209952000, while the sum is 66.

It can be divided in two parts, 395568 and 935328, that added together give a triangular number (1330896 = T₁₆₃₁).

The spelling of 395568935328 in words is "three hundred ninety-five billion, five hundred sixty-eight million, nine hundred thirty-five thousand, three hundred twenty-eight".