3616480 has 48 divisors (see below), whose sum is σ = 9767520. Its totient is φ = 1239552.

The previous prime is 3616477. The next prime is 3616489. The reversal of 3616480 is 846163.

3616480 is digitally balanced in base 8, 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 (28).

3616480 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3616489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495 + ... + 2734.

It is an arithmetic number, because the mean of its divisors is an integer number (203490).

Almost surely, 2^3616480 is an apocalyptic number.

It is an amenable number.

3616480 is an abundant number, since it is smaller than the sum of its proper divisors (6151040).

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

3616480 is a wasteful number, since it uses less digits than its factorization.

3616480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3616480 is about 1901.7044986012. The cubic root of 3616480 is about 153.4953968069.

It can be divided in two parts, 3616 and 480, that added together give a 12-th power (4096 = 2¹²).

The spelling of 3616480 in words is "three million, six hundred sixteen thousand, four hundred eighty".