3661680 has 160 divisors (see below), whose sum is σ = 13213440. Its totient is φ = 829440.

The previous prime is 3661673. The next prime is 3661703. The reversal of 3661680 is 861663.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50124 + ... + 50196.

It is an arithmetic number, because the mean of its divisors is an integer number (82584).

Almost surely, 2^3661680 is an apocalyptic number.

3661680 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 3661680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606720).

3661680 is an abundant number, since it is smaller than the sum of its proper divisors (9551760).

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

3661680 is a wasteful number, since it uses less digits than its factorization.

3661680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3661680 is about 1913.5516716305. The cubic root of 3661680 is about 154.1322302762.

It can be divided in two parts, 36 and 61680, that added together give a palindrome (61716).

The spelling of 3661680 in words is "three million, six hundred sixty-one thousand, six hundred eighty".