3587760 has 160 divisors (see below), whose sum is σ = 13570560. Its totient is φ = 864000.

The previous prime is 3587741. The next prime is 3587761. The reversal of 3587760 is 677853.

3587760 is a `hidden beast` number, since 3 + 587 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3587761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23685 + ... + 23835.

It is an arithmetic number, because the mean of its divisors is an integer number (84816).

Almost surely, 2^3587760 is an apocalyptic number.

3587760 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 3587760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785280).

3587760 is an abundant number, since it is smaller than the sum of its proper divisors (9982800).

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

3587760 is a wasteful number, since it uses less digits than its factorization.

3587760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3587760 is about 1894.1383265221. The cubic root of 3587760 is about 153.0879924450.

It can be divided in two parts, 35877 and 60, that added together give a cube (35937 = 33³).

The spelling of 3587760 in words is "three million, five hundred eighty-seven thousand, seven hundred sixty".