396206380800 has 540 divisors, whose sum is σ = 1470186355176. Its totient is φ = 105278054400.

The previous prime is 396206380777. The next prime is 396206380807. The reversal of 396206380800 is 8083602693.

396206380800 is a `hidden beast` number, since 3 + 9 + 6 + 2 + 0 + 638 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396206380807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 164331595 + ... + 164334005.

Almost surely, 2^396206380800 is an apocalyptic number.

396206380800 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 396206380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735093177588).

396206380800 is an abundant number, since it is smaller than the sum of its proper divisors (1073979974376).

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

396206380800 is a wasteful number, since it uses less digits than its factorization.

396206380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 396206380800 in words is "three hundred ninety-six billion, two hundred six million, three hundred eighty thousand, eight hundred".