396381807360 has 2160 divisors, whose sum is σ = 1854437330592. Its totient is φ = 79891660800.

The previous prime is 396381807293. The next prime is 396381807361. The reversal of 396381807360 is 63708183693.

396381807360 is a `hidden beast` number, since 396 + 3 + 8 + 180 + 73 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 396381807297 and 396381807306.

It is not an unprimeable number, because it can be changed into a prime (396381807361) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2291224234 + ... + 2291224406.

Almost surely, 2^396381807360 is an apocalyptic number.

396381807360 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 396381807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927218665296).

396381807360 is an abundant number, since it is smaller than the sum of its proper divisors (1458055523232).

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

396381807360 is a wasteful number, since it uses less digits than its factorization.

396381807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 396381807360 in words is "three hundred ninety-six billion, three hundred eighty-one million, eight hundred seven thousand, three hundred sixty".