3604100560 has 80 divisors (see below), whose sum is σ = 8461065600. Its totient is φ = 1427691008.

The previous prime is 3604100543. The next prime is 3604100561. The reversal of 3604100560 is 650014063.

3604100560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3604100561) 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, 5570157 + ... + 5570803.

It is an arithmetic number, because the mean of its divisors is an integer number (105763320).

Almost surely, 2^3604100560 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 3604100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230532800).

3604100560 is an abundant number, since it is smaller than the sum of its proper divisors (4856965040).

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

3604100560 is a wasteful number, since it uses less digits than its factorization.

3604100560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 3604100560 is about 60034.1616082044. The cubic root of 3604100560 is about 1533.2005509886.

The spelling of 3604100560 in words is "three billion, six hundred four million, one hundred thousand, five hundred sixty".