387830100 has 144 divisors (see below), whose sum is σ = 1308944000. Its totient is φ = 88623360.

The previous prime is 387830099. The next prime is 387830101. The reversal of 387830100 is 1038783.

It is an interprime number because it is at equal distance from previous prime (387830099) and next prime (387830101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387830101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101016 + ... + 104784.

Almost surely, 2^387830100 is an apocalyptic number.

387830100 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 387830100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654472000).

387830100 is an abundant number, since it is smaller than the sum of its proper divisors (921113900).

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

387830100 is a wasteful number, since it uses less digits than its factorization.

387830100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 387830100 is about 19693.4024485359. The cubic root of 387830100 is about 729.2568279622.

Adding to 387830100 its reverse (1038783), we get a palindrome (388868883).

The spelling of 387830100 in words is "three hundred eighty-seven million, eight hundred thirty thousand, one hundred".