3984624 has 120 divisors (see below), whose sum is σ = 13153920. Its totient is φ = 1102464.

The previous prime is 3984611. The next prime is 3984649. The reversal of 3984624 is 4264893.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59439 + ... + 59505.

It is an arithmetic number, because the mean of its divisors is an integer number (109616).

Almost surely, 2^3984624 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 3984624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6576960).

3984624 is an abundant number, since it is smaller than the sum of its proper divisors (9169296).

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

3984624 is a wasteful number, since it uses less digits than its factorization.

3984624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3984624 is about 1996.1522987989. The cubic root of 3984624 is about 158.5364450288.

The spelling of 3984624 in words is "three million, nine hundred eighty-four thousand, six hundred twenty-four".