3668580 has 72 divisors (see below), whose sum is σ = 11302200. Its totient is φ = 963072.

The previous prime is 3668579. The next prime is 3668593. The reversal of 3668580 is 858663.

It can be written as a sum of positive squares in 4 ways, for example, as 599076 + 3069504 = 774^2 + 1752^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15906 + ... + 16134.

It is an arithmetic number, because the mean of its divisors is an integer number (156975).

Almost surely, 2^3668580 is an apocalyptic number.

3668580 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 3668580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651100).

3668580 is an abundant number, since it is smaller than the sum of its proper divisors (7633620).

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

3668580 is a wasteful number, since it uses less digits than its factorization.

3668580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3668580 is about 1915.3537532268. The cubic root of 3668580 is about 154.2289841402.

The spelling of 3668580 in words is "three million, six hundred sixty-eight thousand, five hundred eighty".