378245488320 has 1344 divisors, whose sum is σ = 1663695936000. Its totient is φ = 80416530432.

The previous prime is 378245488279. The next prime is 378245488321. The reversal of 378245488320 is 23884542873.

378245488320 is a `hidden beast` number, since 3 + 7 + 82 + 454 + 88 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (378245488321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 474586162 + ... + 474586958.

It is an arithmetic number, because the mean of its divisors is an integer number (1237869000).

Almost surely, 2^378245488320 is an apocalyptic number.

378245488320 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 378245488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831847968000).

378245488320 is an abundant number, since it is smaller than the sum of its proper divisors (1285450447680).

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

378245488320 is a wasteful number, since it uses less digits than its factorization.

378245488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 378245488320 in words is "three hundred seventy-eight billion, two hundred forty-five million, four hundred eighty-eight thousand, three hundred twenty".