382668300 has 360 divisors, whose sum is σ = 1504841184. Its totient is φ = 82114560.

The previous prime is 382668281. The next prime is 382668301. The reversal of 382668300 is 3866283.

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

It is not an unprimeable number, because it can be changed into a prime (382668301) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 963702 + ... + 964098.

Almost surely, 2^382668300 is an apocalyptic number.

382668300 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 382668300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752420592).

382668300 is an abundant number, since it is smaller than the sum of its proper divisors (1122172884).

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

382668300 is a wasteful number, since it uses less digits than its factorization.

382668300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 382668300 is about 19561.9094160054. The cubic root of 382668300 is about 726.0070349704.

The spelling of 382668300 in words is "three hundred eighty-two million, six hundred sixty-eight thousand, three hundred".