395746131590784 has 2304 divisors, whose sum is σ = 1409278818816000. Its totient is φ = 108915348971520.

The previous prime is 395746131590767. The next prime is 395746131590809. The reversal of 395746131590784 is 487095131647593.

395746131590784 is a `hidden beast` number, since 3 + 9 + 5 + 7 + 461 + 3 + 1 + 5 + 90 + 78 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 458570256337 + ... + 458570257199.

It is an arithmetic number, because the mean of its divisors is an integer number (611666154000).

Almost surely, 2^{395746131590784} 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 395746131590784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704639409408000).

395746131590784 is an abundant number, since it is smaller than the sum of its proper divisors (1013532687225216).

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

395746131590784 is a wasteful number, since it uses less digits than its factorization.

395746131590784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 395746131590784 in words is "three hundred ninety-five trillion, seven hundred forty-six billion, one hundred thirty-one million, five hundred ninety thousand, seven hundred eighty-four".