395507234304 has 480 divisors, whose sum is σ = 1407816393984. Its totient is φ = 104091402240.

The previous prime is 395507234209. The next prime is 395507234321. The reversal of 395507234304 is 403432705593.

395507234304 is a `hidden beast` number, since 3 + 95 + 507 + 23 + 4 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 395507234304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340074427 + ... + 340075589.

Almost surely, 2^395507234304 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 395507234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703908196992).

395507234304 is an abundant number, since it is smaller than the sum of its proper divisors (1012309159680).

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

395507234304 is a wasteful number, since it uses less digits than its factorization.

395507234304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

Adding to 395507234304 its reverse (403432705593), we get a palindrome (798939939897).

The spelling of 395507234304 in words is "three hundred ninety-five billion, five hundred seven million, two hundred thirty-four thousand, three hundred four".