3602080 has 48 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 1407232.

The previous prime is 3602059. The next prime is 3602083. The reversal of 3602080 is 802063.

It is not an unprimeable number, because it can be changed into a prime (3602083) 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, 7281 + ... + 7759.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^3602080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3602080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

3602080 is an abundant number, since it is smaller than the sum of its proper divisors (5107040).

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

3602080 is a wasteful number, since it uses less digits than its factorization.

3602080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 3602080 is about 1897.9146450776. The cubic root of 3602080 is about 153.2913978998.

It can be divided in two parts, 36020 and 80, that added together give a square (36100 = 190²).

The spelling of 3602080 in words is "three million, six hundred two thousand, eighty".