3652506 has 96 divisors (see below), whose sum is σ = 9831360. Its totient is φ = 997920.

The previous prime is 3652487. The next prime is 3652507. The reversal of 3652506 is 6052563.

3652506 is a `hidden beast` number, since 3 + 652 + 5 + 0 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3652506.

It is not an unprimeable number, because it can be changed into a prime (3652507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84921 + ... + 84963.

It is an arithmetic number, because the mean of its divisors is an integer number (102410).

Almost surely, 2^3652506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3652506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915680).

3652506 is an abundant number, since it is smaller than the sum of its proper divisors (6178854).

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

3652506 is a wasteful number, since it uses less digits than its factorization.

3652506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 72 counting only the distinct ones).

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

The square root of 3652506 is about 1911.1530550953. The cubic root of 3652506 is about 154.0034012854.

The spelling of 3652506 in words is "three million, six hundred fifty-two thousand, five hundred six".