379808128 has 128 divisors (see below), whose sum is σ = 916531200. Its totient is φ = 153323520.

The previous prime is 379808113. The next prime is 379808129. The reversal of 379808128 is 821808973.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379808129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1221093 + ... + 1221403.

It is an arithmetic number, because the mean of its divisors is an integer number (7160400).

Almost surely, 2^379808128 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 379808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458265600).

379808128 is an abundant number, since it is smaller than the sum of its proper divisors (536723072).

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

379808128 is a wasteful number, since it uses less digits than its factorization.

379808128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 379808128 is about 19488.6666552640. Note that the first 4 decimals coincide. The cubic root of 379808128 is about 724.1937151435.

The spelling of 379808128 in words is "three hundred seventy-nine million, eight hundred eight thousand, one hundred twenty-eight".