3984960 has 112 divisors (see below), whose sum is σ = 14484096. Its totient is φ = 909312.

The previous prime is 3984949. The next prime is 3984971. The reversal of 3984960 is 694893.

It is an interprime number because it is at equal distance from previous prime (3984949) and next prime (3984971).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6424 + ... + 7016.

Almost surely, 2^3984960 is an apocalyptic number.

3984960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7242048).

3984960 is an abundant number, since it is smaller than the sum of its proper divisors (10499136).

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

3984960 is a wasteful number, since it uses less digits than its factorization.

3984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3984960 is about 1996.2364589397. The cubic root of 3984960 is about 158.5409010534.

The spelling of 3984960 in words is "three million, nine hundred eighty-four thousand, nine hundred sixty".