384352140 has 96 divisors (see below), whose sum is σ = 1138475520. Its totient is φ = 96615936.

The previous prime is 384352139. The next prime is 384352147. The reversal of 384352140 is 41253483.

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

It is a junction number, because it is equal to n+sod(n) for n = 384352098 and 384352107.

It is not an unprimeable number, because it can be changed into a prime (384352147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264897 + ... + 266343.

It is an arithmetic number, because the mean of its divisors is an integer number (11859120).

Almost surely, 2^384352140 is an apocalyptic number.

384352140 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 384352140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569237760).

384352140 is an abundant number, since it is smaller than the sum of its proper divisors (754123380).

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

384352140 is a wasteful number, since it uses less digits than its factorization.

384352140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 384352140 is about 19604.9009178828. The cubic root of 384352140 is about 727.0703501010.

The spelling of 384352140 in words is "three hundred eighty-four million, three hundred fifty-two thousand, one hundred forty".