378328244374080 has 3584 divisors, whose sum is σ = 1910077045309440. Its totient is φ = 67841556480000.

The previous prime is 378328244374057. The next prime is 378328244374099. The reversal of 378328244374080 is 80473442823873.

378328244374080 is a `hidden beast` number, since 3 + 7 + 8 + 3 + 2 + 82 + 4 + 437 + 40 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 378328244373999 and 378328244374017.

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 511 ways as a sum of consecutive naturals, for example, 22201050360 + ... + 22201067400.

It is an arithmetic number, because the mean of its divisors is an integer number (532945604160).

Almost surely, 2^{378328244374080} is an apocalyptic number.

378328244374080 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 378328244374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955038522654720).

378328244374080 is an abundant number, since it is smaller than the sum of its proper divisors (1531748800935360).

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

378328244374080 is a wasteful number, since it uses less digits than its factorization.

378328244374080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17266 (or 17250 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 63.

The spelling of 378328244374080 in words is "three hundred seventy-eight trillion, three hundred twenty-eight billion, two hundred forty-four million, three hundred seventy-four thousand, eighty".