3695680 has 28 divisors (see below), whose sum is σ = 8801100. Its totient is φ = 1478144.

The previous prime is 3695677. The next prime is 3695683. The reversal of 3695680 is 865963.

It is an interprime number because it is at equal distance from previous prime (3695677) and next prime (3695683).

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 1032256 = 1632^2 + 1016^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3695683) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5455 + ... + 6094.

It is an arithmetic number, because the mean of its divisors is an integer number (314325).

Almost surely, 2^3695680 is an apocalyptic number.

It is an amenable number.

3695680 is an abundant number, since it is smaller than the sum of its proper divisors (5105420).

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

3695680 is a wasteful number, since it uses less digits than its factorization.

3695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11566 (or 11556 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 3695680 is about 1922.4151476723. The cubic root of 3695680 is about 154.6078188066.

The spelling of 3695680 in words is "three million, six hundred ninety-five thousand, six hundred eighty".