3616384 has 32 divisors (see below), whose sum is σ = 7588800. Its totient is φ = 1711872.

The previous prime is 3616381. The next prime is 3616397. The reversal of 3616384 is 4836163.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×3616384³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3616381) 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, 1689 + ... + 3175.

It is an arithmetic number, because the mean of its divisors is an integer number (237150).

Almost surely, 2^3616384 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 3616384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794400).

3616384 is an abundant number, since it is smaller than the sum of its proper divisors (3972416).

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

3616384 is a wasteful number, since it uses less digits than its factorization.

3616384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1508 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 3616384 is about 1901.6792579192. The cubic root of 3616384 is about 153.4940386089.

It can be divided in two parts, 36 and 16384, that multiplied together give a square (589824 = 768²).

The spelling of 3616384 in words is "three million, six hundred sixteen thousand, three hundred eighty-four".