378861465600 has 936 divisors, whose sum is σ = 1426020336000. Its totient is φ = 96023347200.

The previous prime is 378861465599. The next prime is 378861465617. The reversal of 378861465600 is 6564168873.

378861465600 is a `hidden beast` number, since 3 + 78 + 8 + 6 + 1 + 4 + 6 + 560 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2542694326 + ... + 2542694474.

It is an arithmetic number, because the mean of its divisors is an integer number (1523526000).

Almost surely, 2^378861465600 is an apocalyptic number.

378861465600 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 378861465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713010168000).

378861465600 is an abundant number, since it is smaller than the sum of its proper divisors (1047158870400).

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

378861465600 is a wasteful number, since it uses less digits than its factorization.

378861465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 378861465600 in words is "three hundred seventy-eight billion, eight hundred sixty-one million, four hundred sixty-five thousand, six hundred".