379296000 has 288 divisors, whose sum is σ = 1403001600. Its totient is φ = 100915200.

The previous prime is 379295989. The next prime is 379296011. The reversal of 379296000 is 692973.

It is an interprime number because it is at equal distance from previous prime (379295989) and next prime (379296011).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863781 + ... + 864219.

Almost surely, 2^379296000 is an apocalyptic number.

379296000 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 379296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701500800).

379296000 is an abundant number, since it is smaller than the sum of its proper divisors (1023705600).

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

379296000 is an equidigital number, since it uses as much as digits as its factorization.

379296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 379296000 is about 19475.5230995216. The cubic root of 379296000 is about 723.8680711556.

The spelling of 379296000 in words is "three hundred seventy-nine million, two hundred ninety-six thousand".