3621984 has 48 divisors (see below), whose sum is σ = 9843120. Its totient is φ = 1164800.

The previous prime is 3621983. The next prime is 3622001. The reversal of 3621984 is 4891263.

3621984 is nontrivially palindromic in base 9.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3621983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2134 + ... + 3434.

It is an arithmetic number, because the mean of its divisors is an integer number (205065).

Almost surely, 2^3621984 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 3621984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921560).

3621984 is an abundant number, since it is smaller than the sum of its proper divisors (6221136).

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

3621984 is a wasteful number, since it uses less digits than its factorization.

3621984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1335 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 3621984 is about 1903.1510712500. The cubic root of 3621984 is about 153.5732266703.

It can be divided in two parts, 362 and 1984, that added together give a triangular number (2346 = T₆₈).

The spelling of 3621984 in words is "three million, six hundred twenty-one thousand, nine hundred eighty-four".