384512100 has 144 divisors (see below), whose sum is σ = 1277918208. Its totient is φ = 87442560.

The previous prime is 384512099. The next prime is 384512111. The reversal of 384512100 is 1215483.

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, 593977 + ... + 594623.

It is an arithmetic number, because the mean of its divisors is an integer number (8874432).

Almost surely, 2^384512100 is an apocalyptic number.

384512100 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 384512100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638959104).

384512100 is an abundant number, since it is smaller than the sum of its proper divisors (893406108).

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

384512100 is a wasteful number, since it uses less digits than its factorization.

384512100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 384512100 is about 19608.9800856648. The cubic root of 384512100 is about 727.1712003635.

Adding to 384512100 its reverse (1215483), we get a palindrome (385727583).

The spelling of 384512100 in words is "three hundred eighty-four million, five hundred twelve thousand, one hundred".