396784957363200 has 2112 divisors, whose sum is σ = 1770336991180800. Its totient is φ = 85014282240000.

The previous prime is 396784957363177. The next prime is 396784957363259. The reversal of 396784957363200 is 2363759487693.

396784957363200 is a `hidden beast` number, since 3 + 9 + 6 + 7 + 8 + 4 + 9 + 57 + 363 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20645443191 + ... + 20645462409.

Almost surely, 2^{396784957363200} is an apocalyptic number.

396784957363200 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 396784957363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885168495590400).

396784957363200 is an abundant number, since it is smaller than the sum of its proper divisors (1373552033817600).

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

396784957363200 is a wasteful number, since it uses less digits than its factorization.

396784957363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19533 (or 19504 counting only the distinct ones).

The product of its (nonzero) digits is 1234517760, while the sum is 72.

The spelling of 396784957363200 in words is "three hundred ninety-six trillion, seven hundred eighty-four billion, nine hundred fifty-seven million, three hundred sixty-three thousand, two hundred".