3963360 has 96 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 1008128.

The previous prime is 3963359. The next prime is 3963361. The reversal of 3963360 is 633693.

It is an interprime number because it is at equal distance from previous prime (3963359) and next prime (3963361).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3963361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10861 + ... + 11219.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 2^3963360 is an apocalyptic number.

3963360 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 3963360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

3963360 is an abundant number, since it is smaller than the sum of its proper divisors (9100320).

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

3963360 is a wasteful number, since it uses less digits than its factorization.

3963360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 30.

The square root of 3963360 is about 1990.8189269745. The cubic root of 3963360 is about 158.2539312556.

It can be divided in two parts, 39633 and 60, that added together give a palindrome (39693).

The spelling of 3963360 in words is "three million, nine hundred sixty-three thousand, three hundred sixty".