378890784000 has 720 divisors, whose sum is σ = 1422306902016. Its totient is φ = 100154880000.

The previous prime is 378890783969. The next prime is 378890784017. The reversal of 378890784000 is 487098873.

378890784000 is a `hidden beast` number, since 3 + 7 + 88 + 90 + 78 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 329183425 + ... + 329184575.

Almost surely, 2^378890784000 is an apocalyptic number.

378890784000 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 378890784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711153451008).

378890784000 is an abundant number, since it is smaller than the sum of its proper divisors (1043416118016).

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

378890784000 is a wasteful number, since it uses less digits than its factorization.

378890784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 378890784000 in words is "three hundred seventy-eight billion, eight hundred ninety million, seven hundred eighty-four thousand".