382661100 has 108 divisors (see below), whose sum is σ = 1206191896. Its totient is φ = 101468160.

The previous prime is 382661063. The next prime is 382661101. The reversal of 382661100 is 1166283.

It is not an unprimeable number, because it can be changed into a prime (382661101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 172599 + ... + 174801.

Almost surely, 2^382661100 is an apocalyptic number.

382661100 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 382661100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603095948).

382661100 is an abundant number, since it is smaller than the sum of its proper divisors (823530796).

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

382661100 is a wasteful number, since it uses less digits than its factorization.

382661100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 382661100 is about 19561.7253840248. The cubic root of 382661100 is about 726.0024816071.

The spelling of 382661100 in words is "three hundred eighty-two million, six hundred sixty-one thousand, one hundred".