378055730304 has 384 divisors, whose sum is σ = 1339204838400. Its totient is φ = 99949344768.

The previous prime is 378055730293. The next prime is 378055730363. The reversal of 378055730304 is 403037550873.

378055730304 is a `hidden beast` number, since 3 + 78 + 0 + 5 + 573 + 0 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×378055730304² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 378055730304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6559597 + ... + 6616979.

It is an arithmetic number, because the mean of its divisors is an integer number (3487512600).

Almost surely, 2^378055730304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378055730304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669602419200).

378055730304 is an abundant number, since it is smaller than the sum of its proper divisors (961149108096).

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

378055730304 is a wasteful number, since it uses less digits than its factorization.

378055730304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57472 (or 57457 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 378055730304 in words is "three hundred seventy-eight billion, fifty-five million, seven hundred thirty thousand, three hundred four".