3836220 has 48 divisors (see below), whose sum is σ = 11376288. Its totient is φ = 962560.

The previous prime is 3836213. The next prime is 3836227. The reversal of 3836220 is 226383.

3836220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3836213) and next prime (3836227).

It is a super-3 number, since 3×3836220³ (a number of 21 digits) contains 333 as substring.

It is a d-powerful number, because it can be written as 3⁵ + 8⁷ + 3¹⁰ + 6⁸ + 2⁵ + 2⁷ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3836227) 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, 861 + ... + 2900.

It is an arithmetic number, because the mean of its divisors is an integer number (237006).

Almost surely, 2^3836220 is an apocalyptic number.

3836220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3836220 is an abundant number, since it is smaller than the sum of its proper divisors (7540068).

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

3836220 is a wasteful number, since it uses less digits than its factorization.

3836220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3836220 is about 1958.6270701693. The cubic root of 3836220 is about 156.5433061398.

The spelling of 3836220 in words is "three million, eight hundred thirty-six thousand, two hundred twenty".