3652560 has 160 divisors (see below), whose sum is σ = 13392000. Its totient is φ = 912384.

The previous prime is 3652559. The next prime is 3652573. The reversal of 3652560 is 652563.

3652560 is a `hidden beast` number, since 3 + 652 + 5 + 6 + 0 = 666.

3652560 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 40996 + ... + 41084.

It is an arithmetic number, because the mean of its divisors is an integer number (83700).

Almost surely, 2^3652560 is an apocalyptic number.

3652560 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 3652560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696000).

3652560 is an abundant number, since it is smaller than the sum of its proper divisors (9739440).

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

3652560 is a wasteful number, since it uses less digits than its factorization.

3652560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3652560 is about 1911.1671826400. The cubic root of 3652560 is about 154.0041602294.

It can be divided in two parts, 36525 and 60, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 3652560 in words is "three million, six hundred fifty-two thousand, five hundred sixty".