378848144 has 40 divisors (see below), whose sum is σ = 776006880. Its totient is φ = 178675200.

The previous prime is 378848051. The next prime is 378848149. The reversal of 378848144 is 441848873.

It is not an unprimeable number, because it can be changed into a prime (378848149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70679 + ... + 75849.

It is an arithmetic number, because the mean of its divisors is an integer number (19400172).

Almost surely, 2^378848144 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 378848144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388003440).

378848144 is an abundant number, since it is smaller than the sum of its proper divisors (397158736).

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

378848144 is a wasteful number, since it uses less digits than its factorization.

378848144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5439 (or 5433 counting only the distinct ones).

The product of its digits is 688128, while the sum is 47.

The square root of 378848144 is about 19464.0217837938. The cubic root of 378848144 is about 723.5830551096.

The spelling of 378848144 in words is "three hundred seventy-eight million, eight hundred forty-eight thousand, one hundred forty-four".