3996360 has 96 divisors (see below), whose sum is σ = 13773240. Its totient is φ = 1001472.

The previous prime is 3996353. The next prime is 3996361. The reversal of 3996360 is 636993.

It can be written as a sum of positive squares in 4 ways, for example, as 3218436 + 777924 = 1794^2 + 882^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3996361) 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 23 ways as a sum of consecutive naturals, for example, 5794 + ... + 6446.

Almost surely, 2^3996360 is an apocalyptic number.

3996360 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 3996360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6886620).

3996360 is an abundant number, since it is smaller than the sum of its proper divisors (9776880).

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

3996360 is a wasteful number, since it uses less digits than its factorization.

3996360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 680 counting only the distinct ones).

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

The square root of 3996360 is about 1999.0897928808. The cubic root of 3996360 is about 158.6919394183.

It can be divided in two parts, 3996 and 360, that added together give a square (4356 = 66²).

The spelling of 3996360 in words is "three million, nine hundred ninety-six thousand, three hundred sixty".