396084817949184 has 2880 divisors, whose sum is σ = 1540673957222400. Its totient is φ = 100973676625920.

The previous prime is 396084817949167. The next prime is 396084817949203. The reversal of 396084817949184 is 481949718480693.

396084817949184 is a `hidden beast` number, since 3 + 9 + 6 + 0 + 8 + 48 + 1 + 7 + 9 + 491 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

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, 464343279702 + ... + 464343280554.

Almost surely, 2^{396084817949184} 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 396084817949184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770336978611200).

396084817949184 is an abundant number, since it is smaller than the sum of its proper divisors (1144589139273216).

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

396084817949184 is an frugal number, since it uses more digits than its factorization.

396084817949184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 3009871872, while the sum is 81.

The spelling of 396084817949184 in words is "three hundred ninety-six trillion, eighty-four billion, eight hundred seventeen million, nine hundred forty-nine thousand, one hundred eighty-four".