384341100 has 432 divisors, whose sum is σ = 1432574976. Its totient is φ = 78336000.

The previous prime is 384341081. The next prime is 384341119. The reversal of 384341100 is 1143483.

It is an interprime number because it is at equal distance from previous prime (384341081) and next prime (384341119).

It is a super-2 number, since 2×384341100² = 295436162298420000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12398085 + ... + 12398115.

Almost surely, 2^384341100 is an apocalyptic number.

384341100 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 384341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716287488).

384341100 is an abundant number, since it is smaller than the sum of its proper divisors (1048233876).

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

384341100 is a wasteful number, since it uses less digits than its factorization.

384341100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 384341100 is about 19604.6193536115. The cubic root of 384341100 is about 727.0633886606.

Adding to 384341100 its reverse (1143483), we get a palindrome (385484583).

The spelling of 384341100 in words is "three hundred eighty-four million, three hundred forty-one thousand, one hundred".