379224000 has 336 divisors, whose sum is σ = 1421709120. Its totient is φ = 96307200.

The previous prime is 379223969. The next prime is 379224011. The reversal of 379224000 is 422973.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1655886 + ... + 1656114.

Almost surely, 2^379224000 is an apocalyptic number.

379224000 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 379224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710854560).

379224000 is an abundant number, since it is smaller than the sum of its proper divisors (1042485120).

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

379224000 is a wasteful number, since it uses less digits than its factorization.

379224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 379224000 is about 19473.6745376932. The cubic root of 379224000 is about 723.8222654179.

Adding to 379224000 its reverse (422973), we get a palindrome (379646973).

The spelling of 379224000 in words is "three hundred seventy-nine million, two hundred twenty-four thousand".