384700752 has 200 divisors, whose sum is σ = 1242331200. Its totient is φ = 114213888.

The previous prime is 384700751. The next prime is 384700753. The reversal of 384700752 is 257007483.

It is an interprime number because it is at equal distance from previous prime (384700751) and next prime (384700753).

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 (384700751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 418149 + ... + 419067.

It is an arithmetic number, because the mean of its divisors is an integer number (6211656).

Almost surely, 2^384700752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384700752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621165600).

384700752 is an abundant number, since it is smaller than the sum of its proper divisors (857630448).

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

384700752 is a wasteful number, since it uses less digits than its factorization.

384700752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 384700752 is about 19613.7898428631. The cubic root of 384700752 is about 727.2901041833.

The spelling of 384700752 in words is "three hundred eighty-four million, seven hundred thousand, seven hundred fifty-two".