384275072 has 32 divisors (see below), whose sum is σ = 810584820. Its totient is φ = 180834304.

The previous prime is 384275063. The next prime is 384275077. The reversal of 384275072 is 270572483.

It can be written as a sum of positive squares in 2 ways, for example, as 373880896 + 10394176 = 19336^2 + 3224^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (384275077) 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 3 ways as a sum of consecutive naturals, for example, 86123 + ... + 90474.

Almost surely, 2^384275072 is an apocalyptic number.

384275072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

384275072 is an abundant number, since it is smaller than the sum of its proper divisors (426309748).

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

384275072 is a wasteful number, since it uses less digits than its factorization.

384275072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176628 (or 176616 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The square root of 384275072 is about 19602.9352904100. The cubic root of 384275072 is about 727.0217509151.

The spelling of 384275072 in words is "three hundred eighty-four million, two hundred seventy-five thousand, seventy-two".