3476736 has 72 divisors (see below), whose sum is σ = 10301760. Its totient is φ = 1156608.

The previous prime is 3476719. The next prime is 3476741. The reversal of 3476736 is 6376743.

It is a tau number, because it is divible by the number of its divisors (72).

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 3⁸ + 4¹⁰ + 7⁴ + 6² + 7⁷ + 3¹³ + 6⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 3476736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6661 + ... + 7163.

It is an arithmetic number, because the mean of its divisors is an integer number (143080).

Almost surely, 2^3476736 is an apocalyptic number.

3476736 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 3476736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150880).

3476736 is an abundant number, since it is smaller than the sum of its proper divisors (6825024).

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

3476736 is an equidigital number, since it uses as much as digits as its factorization.

3476736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 508 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 3476736 is about 1864.6007615573. The cubic root of 3476736 is about 151.4923042851.

The spelling of 3476736 in words is "three million, four hundred seventy-six thousand, seven hundred thirty-six".