3580080 has 80 divisors (see below), whose sum is σ = 12689664. Its totient is φ = 817920.

The previous prime is 3580069. The next prime is 3580091. The reversal of 3580080 is 800853.

It is an interprime number because it is at equal distance from previous prime (3580069) and next prime (3580091).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 3580080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615 + ... + 2745.

Almost surely, 2^3580080 is an apocalyptic number.

3580080 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 3580080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6344832).

3580080 is an abundant number, since it is smaller than the sum of its proper divisors (9109584).

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

3580080 is a wasteful number, since it uses less digits than its factorization.

3580080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 3580080 is about 1892.1099333813. The cubic root of 3580080 is about 152.9786804418.

The spelling of 3580080 in words is "three million, five hundred eighty thousand, eighty".