379308384 has 288 divisors, whose sum is σ = 1363811904. Its totient is φ = 97320960.

The previous prime is 379308367. The next prime is 379308407. The reversal of 379308384 is 483803973.

It is a happy number.

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

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, 1074352 + ... + 1074704.

It is an arithmetic number, because the mean of its divisors is an integer number (4735458).

Almost surely, 2^379308384 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 379308384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681905952).

379308384 is an abundant number, since it is smaller than the sum of its proper divisors (984503520).

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

379308384 is a wasteful number, since it uses less digits than its factorization.

379308384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 379308384 is about 19475.8410344714. The cubic root of 379308384 is about 723.8759491582.

The spelling of 379308384 in words is "three hundred seventy-nine million, three hundred eight thousand, three hundred eighty-four".