3605410560 has 144 divisors (see below), whose sum is σ = 11555631360. Its totient is φ = 958033920.

The previous prime is 3605410553. The next prime is 3605410603. The reversal of 3605410560 is 650145063.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1192731 + ... + 1195749.

It is an arithmetic number, because the mean of its divisors is an integer number (80247440).

Almost surely, 2^3605410560 is an apocalyptic number.

3605410560 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 3605410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5777815680).

3605410560 is an abundant number, since it is smaller than the sum of its proper divisors (7950220800).

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

3605410560 is a wasteful number, since it uses less digits than its factorization.

3605410560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 3605410560 is about 60045.0710716542. The cubic root of 3605410560 is about 1533.3862884463.

The spelling of 3605410560 in words is "three billion, six hundred five million, four hundred ten thousand, five hundred sixty".