378785821176 has 256 divisors, whose sum is σ = 1224419328000. Its totient is φ = 106255981440.

The previous prime is 378785821157. The next prime is 378785821201. The reversal of 378785821176 is 671128587873.

378785821176 is a `hidden beast` number, since 37 + 8 + 7 + 8 + 582 + 1 + 17 + 6 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86261941 + ... + 86266331.

It is an arithmetic number, because the mean of its divisors is an integer number (4782888000).

Almost surely, 2^378785821176 is an apocalyptic number.

378785821176 is a gapful number since it is divisible by the number (36) 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 378785821176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612209664000).

378785821176 is an abundant number, since it is smaller than the sum of its proper divisors (845633506824).

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

378785821176 is a wasteful number, since it uses less digits than its factorization.

378785821176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439 (or 5429 counting only the distinct ones).

The product of its digits is 31610880, while the sum is 63.

The spelling of 378785821176 in words is "three hundred seventy-eight billion, seven hundred eighty-five million, eight hundred twenty-one thousand, one hundred seventy-six".