3676680 has 96 divisors (see below), whose sum is σ = 13665600. Its totient is φ = 839808.

The previous prime is 3676667. The next prime is 3676721. The reversal of 3676680 is 866763.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1791 + ... + 3249.

It is an arithmetic number, because the mean of its divisors is an integer number (142350).

Almost surely, 2^3676680 is an apocalyptic number.

3676680 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 3676680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6832800).

3676680 is an abundant number, since it is smaller than the sum of its proper divisors (9988920).

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

3676680 is a wasteful number, since it uses less digits than its factorization.

3676680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3676680 is about 1917.4670792480. The cubic root of 3676680 is about 154.3424100863.

It can be divided in two parts, 3676 and 680, that added together give a square (4356 = 66²).

The spelling of 3676680 in words is "three million, six hundred seventy-six thousand, six hundred eighty".