379896000 has 224 divisors, whose sum is σ = 1369405440. Its totient is φ = 92032000.

The previous prime is 379895993. The next prime is 379896017. The reversal of 379896000 is 698973.

It is a happy number.

379896000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 263281 + ... + 264719.

Almost surely, 2^379896000 is an apocalyptic number.

379896000 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 379896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684702720).

379896000 is an abundant number, since it is smaller than the sum of its proper divisors (989509440).

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

379896000 is a wasteful number, since it uses less digits than its factorization.

379896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 379896000 is about 19490.9209633614. The cubic root of 379896000 is about 724.2495603967.

The spelling of 379896000 in words is "three hundred seventy-nine million, eight hundred ninety-six thousand".