3963960 has 288 divisors, whose sum is σ = 17428320. Its totient is φ = 760320.

The previous prime is 3963959. The next prime is 3963977. The reversal of 3963960 is 693693.

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

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 71 ways as a sum of consecutive naturals, for example, 304914 + ... + 304926.

It is an arithmetic number, because the mean of its divisors is an integer number (60515).

Almost surely, 2^3963960 is an apocalyptic number.

3963960 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 3963960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8714160).

3963960 is an abundant number, since it is smaller than the sum of its proper divisors (13464360).

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

3963960 is a wasteful number, since it uses less digits than its factorization.

3963960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 3963960 is about 1990.9696130278. The cubic root of 3963960 is about 158.2619166996.

It can be divided in two parts, 396 and 3960, that added together give a square (4356 = 66²).

The spelling of 3963960 in words is "three million, nine hundred sixty-three thousand, nine hundred sixty".