3603960 has 128 divisors (see below), whose sum is σ = 12441600. Its totient is φ = 927360.

The previous prime is 3603953. The next prime is 3603961. The reversal of 3603960 is 693063.

It is a Harshad number since it is a multiple of its sum of digits (27).

3603960 is a modest number, since divided by 3960 gives 360 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3603961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50725 + ... + 50795.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

Almost surely, 2^3603960 is an apocalyptic number.

3603960 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 3603960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220800).

3603960 is an abundant number, since it is smaller than the sum of its proper divisors (8837640).

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

3603960 is a wasteful number, since it uses less digits than its factorization.

3603960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3603960 is about 1898.4098609099. The cubic root of 3603960 is about 153.3180619111.

The spelling of 3603960 in words is "three million, six hundred three thousand, nine hundred sixty".