379719144 has 256 divisors, whose sum is σ = 1285632000. Its totient is φ = 101502720.

The previous prime is 379719133. The next prime is 379719181. The reversal of 379719144 is 441917973.

379719144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 379719144.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2121247 + ... + 2121425.

It is an arithmetic number, because the mean of its divisors is an integer number (5022000).

Almost surely, 2^379719144 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 379719144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642816000).

379719144 is an abundant number, since it is smaller than the sum of its proper divisors (905912856).

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

379719144 is a wasteful number, since it uses less digits than its factorization.

379719144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 379719144 is about 19486.3835536510. The cubic root of 379719144 is about 724.1371544031.

The spelling of 379719144 in words is "three hundred seventy-nine million, seven hundred nineteen thousand, one hundred forty-four".