3676640 has 48 divisors (see below), whose sum is σ = 9480240. Its totient is φ = 1336320.

The previous prime is 3676639. The next prime is 3676643. The reversal of 3676640 is 466763.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3676597 and 3676606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3676643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 716 + ... + 2804.

It is an arithmetic number, because the mean of its divisors is an integer number (197505).

Almost surely, 2^3676640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740120).

3676640 is an abundant number, since it is smaller than the sum of its proper divisors (5803600).

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

3676640 is a wasteful number, since it uses less digits than its factorization.

3676640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 3676640 is about 1917.4566487929. The cubic root of 3676640 is about 154.3418503676.

It can be divided in two parts, 367 and 6640, that added together give a palindrome (7007).

The spelling of 3676640 in words is "three million, six hundred seventy-six thousand, six hundred forty".