3662928 has 80 divisors (see below), whose sum is σ = 10763200. Its totient is φ = 1192320.

The previous prime is 3662927. The next prime is 3662933. The reversal of 3662928 is 8292663.

3662928 is a `hidden beast` number, since 3 + 6 + 629 + 28 = 666.

3662928 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3662892 and 3662901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3662927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26283 + ... + 26421.

It is an arithmetic number, because the mean of its divisors is an integer number (134540).

Almost surely, 2^3662928 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 3662928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381600).

3662928 is an abundant number, since it is smaller than the sum of its proper divisors (7100272).

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

3662928 is a wasteful number, since it uses less digits than its factorization.

3662928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 3662928 is about 1913.8777390419. The cubic root of 3662928 is about 154.1497391040.

The spelling of 3662928 in words is "three million, six hundred sixty-two thousand, nine hundred twenty-eight".