384000750 has 336 divisors, whose sum is σ = 1282902192. Its totient is φ = 85730400.

The previous prime is 384000739. The next prime is 384000761. The reversal of 384000750 is 57000483.

It is an interprime number because it is at equal distance from previous prime (384000739) and next prime (384000761).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 8930229 + ... + 8930271.

Almost surely, 2^384000750 is an apocalyptic number.

384000750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 384000750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641451096).

384000750 is an abundant number, since it is smaller than the sum of its proper divisors (898901442).

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

384000750 is an equidigital number, since it uses as much as digits as its factorization.

384000750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 384000750 is about 19595.9370788947. The cubic root of 384000750 is about 726.8487103410.

The spelling of 384000750 in words is "three hundred eighty-four million, seven hundred fifty", and thus it is an aban number.