3587160 has 64 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 945536.

The previous prime is 3587137. The next prime is 3587161. The reversal of 3587160 is 617853.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3587161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19951 + ... + 20129.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 2^3587160 is an apocalyptic number.

3587160 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 3587160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

3587160 is an abundant number, since it is smaller than the sum of its proper divisors (7299240).

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

3587160 is a wasteful number, since it uses less digits than its factorization.

3587160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 3587160 is about 1893.9799365358. The cubic root of 3587160 is about 153.0794580655.

The spelling of 3587160 in words is "three million, five hundred eighty-seven thousand, one hundred sixty".