396305964576 has 384 divisors, whose sum is σ = 1239669204480. Its totient is φ = 122867712000.

The previous prime is 396305964557. The next prime is 396305964581. The reversal of 396305964576 is 675469503693.

396305964576 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 0 + 59 + 6 + 4 + 576 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326714946 + ... + 326716158.

It is an arithmetic number, because the mean of its divisors is an integer number (3228305220).

Almost surely, 2^396305964576 is an apocalyptic number.

396305964576 is a gapful number since it is divisible by the number (36) 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 396305964576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619834602240).

396305964576 is an abundant number, since it is smaller than the sum of its proper divisors (843363239904).

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

396305964576 is a wasteful number, since it uses less digits than its factorization.

396305964576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 63.

The spelling of 396305964576 in words is "three hundred ninety-six billion, three hundred five million, nine hundred sixty-four thousand, five hundred seventy-six".