4016384 has 36 divisors (see below), whose sum is σ = 8308860. Its totient is φ = 1935360.

The previous prime is 4016381. The next prime is 4016407. The reversal of 4016384 is 4836104.

It can be written as a sum of positive squares in 2 ways, for example, as 1849600 + 2166784 = 1360^2 + 1472^2 .

It is a super-3 number, since 3×4016384³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4016381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7154 + ... + 7694.

Almost surely, 2^4016384 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 4016384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154430).

4016384 is an abundant number, since it is smaller than the sum of its proper divisors (4292476).

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

4016384 is an equidigital number, since it uses as much as digits as its factorization.

4016384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 4016384 is about 2004.0918142640. The cubic root of 4016384 is about 158.9565431123.

The spelling of 4016384 in words is "four million, sixteen thousand, three hundred eighty-four".