3984552 has 160 divisors (see below), whose sum is σ = 13416480. Its totient is φ = 1088640.

The previous prime is 3984521. The next prime is 3984587. The reversal of 3984552 is 2554893.

3984552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (43200) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92643 + ... + 92685.

It is an arithmetic number, because the mean of its divisors is an integer number (83853).

Almost surely, 2^3984552 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 3984552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708240).

3984552 is an abundant number, since it is smaller than the sum of its proper divisors (9431928).

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

3984552 is a wasteful number, since it uses less digits than its factorization.

3984552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 72 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 3984552 is about 1996.1342640213. The cubic root of 3984552 is about 158.5354901338.

It can be divided in two parts, 398 and 4552, that added together give a triangular number (4950 = T₉₉).

The spelling of 3984552 in words is "three million, nine hundred eighty-four thousand, five hundred fifty-two".