3603145760 has 96 divisors (see below), whose sum is σ = 8669928960. Its totient is φ = 1414812672.

The previous prime is 3603145759. The next prime is 3603145771. The reversal of 3603145760 is 675413063.

It is a self number, because there is not a number n which added to its sum of digits gives 3603145760.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2489357 + ... + 2490803.

It is an arithmetic number, because the mean of its divisors is an integer number (90311760).

Almost surely, 2^3603145760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3603145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334964480).

3603145760 is an abundant number, since it is smaller than the sum of its proper divisors (5066783200).

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

3603145760 is a wasteful number, since it uses less digits than its factorization.

3603145760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 3603145760 is about 60026.2089424278. The cubic root of 3603145760 is about 1533.0651469627.

The spelling of 3603145760 in words is "three billion, six hundred three million, one hundred forty-five thousand, seven hundred sixty".