3682560 has 144 divisors (see below), whose sum is σ = 13539456. Its totient is φ = 835584.

The previous prime is 3682543. The next prime is 3682571. The reversal of 3682560 is 652863.

It is a Cunningham number, because it is equal to 1919²-1.

It is a super-2 number, since 2×3682560² = 27122496307200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 26812 + ... + 26948.

It is an arithmetic number, because the mean of its divisors is an integer number (94024).

Almost surely, 2^3682560 is an apocalyptic number.

3682560 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 3682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769728).

3682560 is an abundant number, since it is smaller than the sum of its proper divisors (9856896).

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

3682560 is a wasteful number, since it uses less digits than its factorization.

3682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 3682560 is about 1918.9997394476. Note that the first 3 decimals coincide. The cubic root of 3682560 is about 154.4246446026.

The spelling of 3682560 in words is "three million, six hundred eighty-two thousand, five hundred sixty".