1684272384 has 108 divisors (see below), whose sum is σ = 4867538676. Its totient is φ = 560111616.

The previous prime is 1684272367. The next prime is 1684272389. The reversal of 1684272384 is 4832724861.

It is a happy number.

1684272384 is a `hidden beast` number, since 168 + 42 + 72 + 384 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 815673600 + 868598784 = 28560^2 + 29472^2 .

It is a super-3 number, since 3×1684272384³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684272389) 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 11 ways as a sum of consecutive naturals, for example, 1964884 + ... + 1965740.

Almost surely, 2^1684272384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1684272384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433769338).

1684272384 is an abundant number, since it is smaller than the sum of its proper divisors (3183266292).

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

1684272384 is an equidigital number, since it uses as much as digits as its factorization.

1684272384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1715 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 1684272384 is about 41039.8877191447. The cubic root of 1684272384 is about 1189.7912643792.

It can be divided in two parts, 16 and 84272384, that added together give a square (84272400 = 9180²).

The spelling of 1684272384 in words is "one billion, six hundred eighty-four million, two hundred seventy-two thousand, three hundred eighty-four".