3984760 has 64 divisors (see below), whose sum is σ = 9878400. Its totient is φ = 1437696.

The previous prime is 3984751. The next prime is 3984769. The reversal of 3984760 is 674893.

It is an interprime number because it is at equal distance from previous prime (3984751) and next prime (3984769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41032 + ... + 41128.

It is an arithmetic number, because the mean of its divisors is an integer number (154350).

Almost surely, 2^3984760 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 3984760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939200).

3984760 is an abundant number, since it is smaller than the sum of its proper divisors (5893640).

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

3984760 is a wasteful number, since it uses less digits than its factorization.

3984760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 3984760 is about 1996.1863640452. The cubic root of 3984760 is about 158.5382486880.

The spelling of 3984760 in words is "three million, nine hundred eighty-four thousand, seven hundred sixty".