3836628 has 36 divisors (see below), whose sum is σ = 10270260. Its totient is φ = 1203456.

The previous prime is 3836603. The next prime is 3836629. The reversal of 3836628 is 8266383.

3836628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2125764 + 1710864 = 1458^2 + 1308^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a d-powerful number, because it can be written as 3⁴ + 8³ + 3¹⁰ + 6³ + 6⁸ + 2 + 8⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 3836592 and 3836601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3836629) 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 11 ways as a sum of consecutive naturals, for example, 2523 + ... + 3746.

It is an arithmetic number, because the mean of its divisors is an integer number (285285).

Almost surely, 2^3836628 is an apocalyptic number.

It is an amenable number.

3836628 is an abundant number, since it is smaller than the sum of its proper divisors (6433632).

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

3836628 is a wasteful number, since it uses less digits than its factorization.

3836628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6296 (or 6291 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3836628 is about 1958.7312219904. The cubic root of 3836628 is about 156.5488556482.

The spelling of 3836628 in words is "three million, eight hundred thirty-six thousand, six hundred twenty-eight".