3580480 has 56 divisors (see below), whose sum is σ = 8705088. Its totient is φ = 1402368.

The previous prime is 3580463. The next prime is 3580487. The reversal of 3580480 is 840853.

3580480 = T₈₉ + T₉₀ + ... + T₂₈₀.

It is a d-powerful number, because it can be written as 3¹³ + 5⁹ + 8 + 0 + 4⁴ + 8⁵ + 0 .

It is not an unprimeable number, because it can be changed into a prime (3580487) 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, 21357 + ... + 21523.

It is an arithmetic number, because the mean of its divisors is an integer number (155448).

Almost surely, 2^3580480 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 3580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352544).

3580480 is an abundant number, since it is smaller than the sum of its proper divisors (5124608).

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

3580480 is a wasteful number, since it uses less digits than its factorization.

3580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 3580480 is about 1892.2156325324. The cubic root of 3580480 is about 152.9843776323.

The spelling of 3580480 in words is "three million, five hundred eighty thousand, four hundred eighty".