384365280784 has 135 divisors (see below), whose sum is σ = 789691586061. Its totient is φ = 181230215040.

The previous prime is 384365280743. The next prime is 384365280791. The reversal of 384365280784 is 487082563483.

It is a happy number.

The square root of 384365280784 is 619972.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 343935331600 + 40429949184 = 586460^2 + 201072^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5413595469 + ... + 5413595539.

Almost surely, 2^384365280784 is an apocalyptic number.

384365280784 is the 619972-nd square number.

It is an amenable number.

384365280784 is an abundant number, since it is smaller than the sum of its proper divisors (405326305277).

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

384365280784 is an frugal number, since it uses more digits than its factorization.

384365280784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 58.

The spelling of 384365280784 in words is "three hundred eighty-four billion, three hundred sixty-five million, two hundred eighty thousand, seven hundred eighty-four".