379894320 has 320 divisors, whose sum is σ = 1434908160. Its totient is φ = 91819008.

The previous prime is 379894309. The next prime is 379894337. The reversal of 379894320 is 23498973.

It is a happy number.

379894320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2330559 + ... + 2330721.

It is an arithmetic number, because the mean of its divisors is an integer number (4484088).

Almost surely, 2^379894320 is an apocalyptic number.

379894320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379894320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717454080).

379894320 is an abundant number, since it is smaller than the sum of its proper divisors (1055013840).

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

379894320 is a wasteful number, since it uses less digits than its factorization.

379894320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

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

The square root of 379894320 is about 19490.8778663251. The cubic root of 379894320 is about 724.2484927878.

The spelling of 379894320 in words is "three hundred seventy-nine million, eight hundred ninety-four thousand, three hundred twenty".