3626928 has 60 divisors (see below), whose sum is σ = 10300680. Its totient is φ = 1191168.

The previous prime is 3626897. The next prime is 3626941. The reversal of 3626928 is 8296263.

3626928 is a `hidden beast` number, since 3 + 626 + 9 + 28 = 666.

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 = 3626892 and 3626901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12675 + ... + 12957.

It is an arithmetic number, because the mean of its divisors is an integer number (171678).

Almost surely, 2^3626928 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 3626928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150340).

3626928 is an abundant number, since it is smaller than the sum of its proper divisors (6673752).

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

3626928 is a wasteful number, since it uses less digits than its factorization.

3626928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 377 counting only the distinct ones).

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

The square root of 3626928 is about 1904.4495267662. The cubic root of 3626928 is about 153.6430706038.

It can be divided in two parts, 3626 and 928, that added together give a palindrome (4554).

The spelling of 3626928 in words is "three million, six hundred twenty-six thousand, nine hundred twenty-eight".