3660336 has 80 divisors (see below), whose sum is σ = 10837600. Its totient is φ = 1181952.

The previous prime is 3660323. The next prime is 3660343. The reversal of 3660336 is 6330663.

3660336 = 70³ + 71³ + ... + 78³.

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

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, 15870 + ... + 16098.

It is an arithmetic number, because the mean of its divisors is an integer number (135470).

Almost surely, 2^3660336 is an apocalyptic number.

3660336 is a gapful number since it is divisible by the number (36) 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 3660336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418800).

3660336 is an abundant number, since it is smaller than the sum of its proper divisors (7177264).

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

3660336 is a wasteful number, since it uses less digits than its factorization.

3660336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 3660336 is about 1913.2004599623. The cubic root of 3660336 is about 154.1133701657.

Adding to 3660336 its reverse (6330663), we get a palindrome (9990999).

The spelling of 3660336 in words is "three million, six hundred sixty thousand, three hundred thirty-six".