3820628 has 36 divisors (see below), whose sum is σ = 7895412. Its totient is φ = 1612800.

The previous prime is 3820627. The next prime is 3820651. The reversal of 3820628 is 8260283.

It can be written as a sum of positive squares in 2 ways, for example, as 2502724 + 1317904 = 1582^2 + 1148^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3820628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3820627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19700 + ... + 19892.

It is an arithmetic number, because the mean of its divisors is an integer number (219317).

Almost surely, 2^3820628 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 3820628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947706).

3820628 is an abundant number, since it is smaller than the sum of its proper divisors (4074784).

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

3820628 is a wasteful number, since it uses less digits than its factorization.

3820628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 3820628 is about 1954.6426783430. The cubic root of 3820628 is about 156.3309323658.

The spelling of 3820628 in words is "three million, eight hundred twenty thousand, six hundred twenty-eight".