384787377536004 has 81 divisors (see below), whose sum is σ = 995816054301159. Its totient is φ = 125277963546960.

The previous prime is 384787377535991. The next prime is 384787377536011. The reversal of 384787377536004 is 400635773787483.

The square root of 384787377536004 is 19615998.

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

384787377536004 is a `hidden beast` number, since 3 + 8 + 4 + 7 + 8 + 7 + 3 + 7 + 7 + 5 + 3 + 600 + 4 = 666.

It is a super-2 number, since 2×384787377536004² (a number of 30 digits) contains 22 as substring.

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, 5060889469 + ... + 5060965499.

Almost surely, 2^{384787377536004} is an apocalyptic number.

384787377536004 is the 19615998-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384787377536004

384787377536004 is an abundant number, since it is smaller than the sum of its proper divisors (611028676765155).

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

384787377536004 is an frugal number, since it uses more digits than its factorization.

384787377536004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152158 (or 76079 counting only the distinct ones).

The product of its (nonzero) digits is 1991485440, while the sum is 72.

The spelling of 384787377536004 in words is "three hundred eighty-four trillion, seven hundred eighty-seven billion, three hundred seventy-seven million, five hundred thirty-six thousand, four".