3556560 has 160 divisors (see below), whose sum is σ = 13213440. Its totient is φ = 774144.

The previous prime is 3556547. The next prime is 3556571. The reversal of 3556560 is 656553.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48684 + ... + 48756.

It is an arithmetic number, because the mean of its divisors is an integer number (82584).

Almost surely, 2^3556560 is an apocalyptic number.

3556560 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 3556560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606720).

3556560 is an abundant number, since it is smaller than the sum of its proper divisors (9656880).

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

3556560 is a wasteful number, since it uses less digits than its factorization.

3556560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 3556560 is about 1885.8844079105. The cubic root of 3556560 is about 152.6429368438.

The spelling of 3556560 in words is "three million, five hundred fifty-six thousand, five hundred sixty".