379848000 has 672 divisors, whose sum is σ = 1626168960. Its totient is φ = 77414400.

The previous prime is 379847933. The next prime is 379848011. The reversal of 379848000 is 848973.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 379848000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19991991 + ... + 19992009.

Almost surely, 2^379848000 is an apocalyptic number.

379848000 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 379848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813084480).

379848000 is an abundant number, since it is smaller than the sum of its proper divisors (1246320960).

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

379848000 is a wasteful number, since it uses less digits than its factorization.

379848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 379848000 is about 19489.6895819302. The cubic root of 379848000 is about 724.2190560453.

The spelling of 379848000 in words is "three hundred seventy-nine million, eight hundred forty-eight thousand".