384397520004 has 27 divisors (see below), whose sum is σ = 971680912293. Its totient is φ = 128131266672.

The previous prime is 384397519993. The next prime is 384397520057. The reversal of 384397520004 is 400025793483.

The square root of 384397520004 is 619998.

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

384397520004 is a `hidden beast` number, since 3 + 8 + 439 + 7 + 5 + 200 + 0 + 4 = 666.

384397520004 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 352230380100 + 32167139904 = 593490^2 + 179352^2 .

It is a super-2 number, since 2×384397520004² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3668322 + ... + 3771654.

Almost surely, 2^384397520004 is an apocalyptic number.

384397520004 is the 619998-th square number.

It is an amenable number.

384397520004 is an abundant number, since it is smaller than the sum of its proper divisors (587283392289).

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

384397520004 is an frugal number, since it uses more digits than its factorization.

384397520004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206676 (or 103338 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

It can be divided in two parts, 384397 and 520004, that added together give a square (904401 = 951²).

The spelling of 384397520004 in words is "three hundred eighty-four billion, three hundred ninety-seven million, five hundred twenty thousand, four".