384672600 has 288 divisors, whose sum is σ = 1474593120. Its totient is φ = 89026560.

The previous prime is 384672599. The next prime is 384672601. The reversal of 384672600 is 6276483.

384672600 is a `hidden beast` number, since 3 + 8 + 46 + 7 + 2 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (384672599) and next prime (384672601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384672601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 397317 + ... + 398283.

It is an arithmetic number, because the mean of its divisors is an integer number (5120115).

Almost surely, 2^384672600 is an apocalyptic number.

384672600 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 384672600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737296560).

384672600 is an abundant number, since it is smaller than the sum of its proper divisors (1089920520).

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

384672600 is a wasteful number, since it uses less digits than its factorization.

384672600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 384672600 is about 19613.0721713861. The cubic root of 384672600 is about 727.2723629733.

The spelling of 384672600 in words is "three hundred eighty-four million, six hundred seventy-two thousand, six hundred".