3680528 has 20 divisors (see below), whose sum is σ = 7506960. Its totient is φ = 1743264.

The previous prime is 3680527. The next prime is 3680533. The reversal of 3680528 is 8250863.

3680528 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

3680528 is a modest number, since divided by 528 gives 368 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 3680494 and 3680503.

It is not an unprimeable number, because it can be changed into a prime (3680527) 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, 5750 + ... + 6357.

It is an arithmetic number, because the mean of its divisors is an integer number (375348).

Almost surely, 2^3680528 is an apocalyptic number.

3680528 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3680528 is an abundant number, since it is smaller than the sum of its proper divisors (3826432).

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

3680528 is a wasteful number, since it uses less digits than its factorization.

3680528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12134 (or 12128 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 3680528 is about 1918.4702239024. The cubic root of 3680528 is about 154.3962360488.

The spelling of 3680528 in words is "three million, six hundred eighty thousand, five hundred twenty-eight".