378909878382 has 384 divisors, whose sum is σ = 1030288896000. Its totient is φ = 98254798848.

The previous prime is 378909878357. The next prime is 378909878441. The reversal of 378909878382 is 283878909873.

378909878382 is a `hidden beast` number, since 3 + 7 + 8 + 90 + 98 + 78 + 382 = 666.

It is a super-3 number, since 3×378909878382³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 378909878382.

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 191 ways as a sum of consecutive naturals, for example, 1626222538 + ... + 1626222770.

It is an arithmetic number, because the mean of its divisors is an integer number (2683044000).

Almost surely, 2^378909878382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378909878382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515144448000).

378909878382 is an abundant number, since it is smaller than the sum of its proper divisors (651379017618).

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

378909878382 is a wasteful number, since it uses less digits than its factorization.

378909878382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 378909878382 in words is "three hundred seventy-eight billion, nine hundred nine million, eight hundred seventy-eight thousand, three hundred eighty-two".