3675456 has 70 divisors (see below), whose sum is σ = 10910570. Its totient is φ = 1223424.

The previous prime is 3675449. The next prime is 3675461. The reversal of 3675456 is 6545763.

It can be written as a sum of positive squares in only one way, i.e., 2509056 + 1166400 = 1584^2 + 1080^2 .

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 3675456.

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 9 ways as a sum of consecutive naturals, for example, 4830 + ... + 5538.

Almost surely, 2^3675456 is an apocalyptic number.

3675456 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 3675456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455285).

3675456 is an abundant number, since it is smaller than the sum of its proper divisors (7235114).

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

3675456 is an equidigital number, since it uses as much as digits as its factorization.

3675456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 714 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 3675456 is about 1917.1478816200. The cubic root of 3675456 is about 154.3252808576.

The spelling of 3675456 in words is "three million, six hundred seventy-five thousand, four hundred fifty-six".