379104768 has 360 divisors, whose sum is σ = 1346284368. Its totient is φ = 102187008.

The previous prime is 379104767. The next prime is 379104793. The reversal of 379104768 is 867401973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379104767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5193180 + ... + 5193252.

Almost surely, 2^379104768 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 379104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673142184).

379104768 is an abundant number, since it is smaller than the sum of its proper divisors (967179600).

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

379104768 is a wasteful number, since it uses less digits than its factorization.

379104768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 379104768 is about 19470.6129333414. The cubic root of 379104768 is about 723.7463983641.

The spelling of 379104768 in words is "three hundred seventy-nine million, one hundred four thousand, seven hundred sixty-eight".