3586480 has 40 divisors (see below), whose sum is σ = 8428032. Its totient is φ = 1419264.

The previous prime is 3586469. The next prime is 3586481. The reversal of 3586480 is 846853.

3586480 = 101² + 102² + ... + 227².

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3586481) 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, 9984 + ... + 10336.

Almost surely, 2^3586480 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 3586480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214016).

3586480 is an abundant number, since it is smaller than the sum of its proper divisors (4841552).

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

3586480 is a wasteful number, since it uses less digits than its factorization.

3586480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 3586480 is about 1893.8004118703. The cubic root of 3586480 is about 153.0697846182.

The spelling of 3586480 in words is "three million, five hundred eighty-six thousand, four hundred eighty".