396288921600 has 1872 divisors, whose sum is σ = 1739111023104. Its totient is φ = 84934656000.

The previous prime is 396288921557. The next prime is 396288921607. The reversal of 396288921600 is 6129882693.

396288921600 is a `hidden beast` number, since 3 + 9 + 6 + 2 + 8 + 8 + 9 + 21 + 600 = 666.

396288921600 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1872).

It is not an unprimeable number, because it can be changed into a prime (396288921607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4085452752 + ... + 4085452848.

Almost surely, 2^396288921600 is an apocalyptic number.

396288921600 is a gapful number since it is divisible by the number (30) 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 396288921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869555511552).

396288921600 is an abundant number, since it is smaller than the sum of its proper divisors (1342822101504).

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

396288921600 is a wasteful number, since it uses less digits than its factorization.

396288921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 396288921600 in words is "three hundred ninety-six billion, two hundred eighty-eight million, nine hundred twenty-one thousand, six hundred".