3476844 has 108 divisors (see below), whose sum is σ = 10747464. Its totient is φ = 979776.

The previous prime is 3476843. The next prime is 3476861. The reversal of 3476844 is 4486743.

3476844 = 242² + 243² + ... + 290².

3476844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a junction number, because it is equal to n+sod(n) for n = 3476799 and 3476808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3476843) 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 35 ways as a sum of consecutive naturals, for example, 47592 + ... + 47664.

Almost surely, 2^3476844 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 3476844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373732).

3476844 is an abundant number, since it is smaller than the sum of its proper divisors (7270620).

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

3476844 is a wasteful number, since it uses less digits than its factorization.

3476844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 85 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 3476844 is about 1864.6297219555. The cubic root of 3476844 is about 151.4938729019.

The spelling of 3476844 in words is "three million, four hundred seventy-six thousand, eight hundred forty-four".