3963520 has 64 divisors (see below), whose sum is σ = 10355040. Its totient is φ = 1438720.

The previous prime is 3963503. The next prime is 3963523. The reversal of 3963520 is 253693.

3963520 is a nontrivial binomial coefficient, being equal to C(2816, 2).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3963523) 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, 6759 + ... + 7321.

Almost surely, 2^3963520 is an apocalyptic number.

3963520 is the 2815-th triangular number and also the 1408-th hexagonal number.

3963520 is the 939-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5177520).

3963520 is an abundant number, since it is smaller than the sum of its proper divisors (6391520).

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

3963520 is a wasteful number, since it uses less digits than its factorization.

3963520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 3963520 is about 1990.8591110372. The cubic root of 3963520 is about 158.2560607861.

It can be divided in two parts, 396 and 3520, that added together give a triangular number (3916 = T₈₈).

The spelling of 3963520 in words is "three million, nine hundred sixty-three thousand, five hundred twenty".