3587540 has 48 divisors (see below), whose sum is σ = 8588160. Its totient is φ = 1246080.

The previous prime is 3587531. The next prime is 3587569. The reversal of 3587540 is 457853.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3587497 and 3587506.

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, 4706 + ... + 5414.

It is an arithmetic number, because the mean of its divisors is an integer number (178920).

Almost surely, 2^3587540 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 3587540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294080).

3587540 is an abundant number, since it is smaller than the sum of its proper divisors (5000620).

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

3587540 is a wasteful number, since it uses less digits than its factorization.

3587540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 3587540 is about 1894.0802517317. The cubic root of 3587540 is about 153.0848632830.

The spelling of 3587540 in words is "three million, five hundred eighty-seven thousand, five hundred forty".