3667456 has 80 divisors (see below), whose sum is σ = 8593200. Its totient is φ = 1548288.

The previous prime is 3667453. The next prime is 3667471. The reversal of 3667456 is 6547663.

3667456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (90720) is a multiple of the sum of its prime divisors (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667453) 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 7 ways as a sum of consecutive naturals, for example, 126450 + ... + 126478.

It is an arithmetic number, because the mean of its divisors is an integer number (107415).

Almost surely, 2^3667456 is an apocalyptic number.

3667456 is the 1024-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3667456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296600).

3667456 is an abundant number, since it is smaller than the sum of its proper divisors (4925744).

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

3667456 is a wasteful number, since it uses less digits than its factorization.

3667456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 63 counting only the distinct ones).

The product of its digits is 90720, while the sum is 37.

The square root of 3667456 is about 1915.0603123662. The cubic root of 3667456 is about 154.2132313525.

The spelling of 3667456 in words is "three million, six hundred sixty-seven thousand, four hundred fifty-six".