384636120 has 128 divisors (see below), whose sum is σ = 1265690880. Its totient is φ = 92736000.

The previous prime is 384636097. The next prime is 384636139. The reversal of 384636120 is 21636483.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277830 + ... + 279210.

It is an arithmetic number, because the mean of its divisors is an integer number (9888210).

Almost surely, 2^384636120 is an apocalyptic number.

384636120 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 384636120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632845440).

384636120 is an abundant number, since it is smaller than the sum of its proper divisors (881054760).

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

384636120 is a wasteful number, since it uses less digits than its factorization.

384636120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 384636120 is about 19612.1421573473. The cubic root of 384636120 is about 727.2493722235.

The spelling of 384636120 in words is "three hundred eighty-four million, six hundred thirty-six thousand, one hundred twenty".