3673836 has 120 divisors (see below), whose sum is σ = 10977120. Its totient is φ = 1064448.

The previous prime is 3673793. The next prime is 3673837. The reversal of 3673836 is 6383763.

3673836 is digitally balanced in base 2, because in such base 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 self number, because there is not a number n which added to its sum of digits gives 3673836.

It is not an unprimeable number, because it can be changed into a prime (3673837) 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 39 ways as a sum of consecutive naturals, for example, 126670 + ... + 126698.

It is an arithmetic number, because the mean of its divisors is an integer number (91476).

Almost surely, 2^3673836 is an apocalyptic number.

3673836 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3673836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488560).

3673836 is an abundant number, since it is smaller than the sum of its proper divisors (7303284).

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

3673836 is a wasteful number, since it uses less digits than its factorization.

3673836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 74 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3673836 is about 1916.7253324355. The cubic root of 3673836 is about 154.3026039711.

The spelling of 3673836 in words is "three million, six hundred seventy-three thousand, eight hundred thirty-six".