384204104964 has 27 divisors (see below), whose sum is σ = 971191999687. Its totient is φ = 128066795304.

The previous prime is 384204104959. The next prime is 384204104981. The reversal of 384204104964 is 469401402483.

The square root of 384204104964 is 619842.

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

384204104964 is a `hidden beast` number, since 38 + 420 + 4 + 104 + 96 + 4 = 666.

It is a super-2 number, since 2×384204104964² (a number of 24 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 3667399 + ... + 3770705.

Almost surely, 2^384204104964 is an apocalyptic number.

384204104964 is the 619842-nd square number.

It is an amenable number.

384204104964 is an abundant number, since it is smaller than the sum of its proper divisors (586987894723).

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

384204104964 is an frugal number, since it uses more digits than its factorization.

384204104964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206624 (or 103312 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 384204104964 in words is "three hundred eighty-four billion, two hundred four million, one hundred four thousand, nine hundred sixty-four".