384366000 has 240 divisors, whose sum is σ = 1309782240. Its totient is φ = 96857600.

The previous prime is 384365983. The next prime is 384366083. The reversal of 384366000 is 663483.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8177977 + ... + 8178023.

It is an arithmetic number, because the mean of its divisors is an integer number (5457426).

Almost surely, 2^384366000 is an apocalyptic number.

384366000 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 384366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654891120).

384366000 is an abundant number, since it is smaller than the sum of its proper divisors (925416240).

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

384366000 is a wasteful number, since it uses less digits than its factorization.

384366000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 384366000 is about 19605.2543977374. The cubic root of 384366000 is about 727.0790895467.

The spelling of 384366000 in words is "three hundred eighty-four million, three hundred sixty-six thousand".