3680628 has 48 divisors (see below), whose sum is σ = 10053120. Its totient is φ = 1026144.

The previous prime is 3680627. The next prime is 3680639. The reversal of 3680628 is 8260863.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3103 + ... + 4121.

It is an arithmetic number, because the mean of its divisors is an integer number (209440).

Almost surely, 2^3680628 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 3680628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5026560).

3680628 is an abundant number, since it is smaller than the sum of its proper divisors (6372492).

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

3680628 is a wasteful number, since it uses less digits than its factorization.

3680628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3680628 is about 1918.4962861575. The cubic root of 3680628 is about 154.3976343521.

The spelling of 3680628 in words is "three million, six hundred eighty thousand, six hundred twenty-eight".