384354750 has 128 divisors (see below), whose sum is σ = 1048320000. Its totient is φ = 93225600.

The previous prime is 384354749. The next prime is 384354799. The reversal of 384354750 is 57453483.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 384354699 and 384354708.

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 63 ways as a sum of consecutive naturals, for example, 770001 + ... + 770499.

It is an arithmetic number, because the mean of its divisors is an integer number (8190000).

Almost surely, 2^384354750 is an apocalyptic number.

384354750 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 384354750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160000).

384354750 is an abundant number, since it is smaller than the sum of its proper divisors (663965250).

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

384354750 is a wasteful number, since it uses less digits than its factorization.

384354750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 384354750 is about 19604.9674827580. The cubic root of 384354750 is about 727.0719958568.

The spelling of 384354750 in words is "three hundred eighty-four million, three hundred fifty-four thousand, seven hundred fifty".