3662560 has 48 divisors (see below), whose sum is σ = 9443952. Its totient is φ = 1331200.

The previous prime is 3662551. The next prime is 3662579. The reversal of 3662560 is 652663.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720 + ... + 2800.

It is an arithmetic number, because the mean of its divisors is an integer number (196749).

Almost surely, 2^3662560 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 3662560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721976).

3662560 is an abundant number, since it is smaller than the sum of its proper divisors (5781392).

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

3662560 is a wasteful number, since it uses less digits than its factorization.

3662560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 3662560 is about 1913.7815967346. The cubic root of 3662560 is about 154.1445766580.

It can be divided in two parts, 366 and 2560, that added together give a triangular number (2926 = T₇₆).

The spelling of 3662560 in words is "three million, six hundred sixty-two thousand, five hundred sixty".