379126944 has 144 divisors (see below), whose sum is σ = 1240162560. Its totient is φ = 107619840.

The previous prime is 379126933. The next prime is 379126949. The reversal of 379126944 is 449621973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 379126944.

It is not an unprimeable number, because it can be changed into a prime (379126949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364377 + ... + 365415.

It is an arithmetic number, because the mean of its divisors is an integer number (8612240).

Almost surely, 2^379126944 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 379126944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620081280).

379126944 is an abundant number, since it is smaller than the sum of its proper divisors (861035616).

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

379126944 is a wasteful number, since it uses less digits than its factorization.

379126944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1232 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 379126944 is about 19471.1823986115. The cubic root of 379126944 is about 723.7605101072.

The spelling of 379126944 in words is "three hundred seventy-nine million, one hundred twenty-six thousand, nine hundred forty-four".