379429344 has 288 divisors, whose sum is σ = 1320883200. Its totient is φ = 103074048.

The previous prime is 379429319. The next prime is 379429361. The reversal of 379429344 is 443924973.

It is a tau number, because it is divible by the number of its divisors (288).

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 379429344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2271949 + ... + 2272115.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^379429344 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 379429344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

379429344 is an abundant number, since it is smaller than the sum of its proper divisors (941453856).

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

379429344 is a wasteful number, since it uses less digits than its factorization.

379429344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 202 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 379429344 is about 19478.9461727271. The cubic root of 379429344 is about 723.9528880753.

The spelling of 379429344 in words is "three hundred seventy-nine million, four hundred twenty-nine thousand, three hundred forty-four".