395784355680 has 768 divisors, whose sum is σ = 1650475008000. Its totient is φ = 86675650560.

The previous prime is 395784355661. The next prime is 395784355727. The reversal of 395784355680 is 86553487593.

395784355680 is a `hidden beast` number, since 3 + 9 + 5 + 78 + 4 + 3 + 556 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96554271 + ... + 96558369.

It is an arithmetic number, because the mean of its divisors is an integer number (2149056000).

Almost surely, 2^395784355680 is an apocalyptic number.

395784355680 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 395784355680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825237504000).

395784355680 is an abundant number, since it is smaller than the sum of its proper divisors (1254690652320).

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

395784355680 is a wasteful number, since it uses less digits than its factorization.

395784355680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 395784355680 in words is "three hundred ninety-five billion, seven hundred eighty-four million, three hundred fifty-five thousand, six hundred eighty".