3580416 has 160 divisors (see below), whose sum is σ = 12439680. Its totient is φ = 995328.

The previous prime is 3580411. The next prime is 3580429. The reversal of 3580416 is 6140853.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3580416.

It is not an unprimeable number, because it can be changed into a prime (3580411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96750 + ... + 96786.

It is an arithmetic number, because the mean of its divisors is an integer number (77748).

Almost surely, 2^3580416 is an apocalyptic number.

3580416 is a gapful number since it is divisible by the number (36) 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 3580416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6219840).

3580416 is an abundant number, since it is smaller than the sum of its proper divisors (8859264).

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

3580416 is an equidigital number, since it uses as much as digits as its factorization.

3580416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3580416 is about 1892.1987210650. The cubic root of 3580416 is about 152.9834661103.

The spelling of 3580416 in words is "three million, five hundred eighty thousand, four hundred sixteen".