3616080 has 160 divisors (see below), whose sum is σ = 12915840. Its totient is φ = 829440.

The previous prime is 3616079. The next prime is 3616111. The reversal of 3616080 is 806163.

3616080 is digitally balanced in base 2, 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3616080.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 59250 + ... + 59310.

It is an arithmetic number, because the mean of its divisors is an integer number (80724).

Almost surely, 2^3616080 is an apocalyptic number.

3616080 is a gapful number since it is divisible by the number (30) 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 3616080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457920).

3616080 is an abundant number, since it is smaller than the sum of its proper divisors (9299760).

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

3616080 is a wasteful number, since it uses less digits than its factorization.

3616080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3616080 is about 1901.5993268825. The cubic root of 3616080 is about 153.4897374897.

It can be divided in two parts, 361 and 6080, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 3616080 in words is "three million, six hundred sixteen thousand, eighty".