3505216 has 56 divisors (see below), whose sum is σ = 8193024. Its totient is φ = 1466880.

The previous prime is 3505207. The next prime is 3505219. The reversal of 3505216 is 6125053.

It is a happy number.

It is a hoax number, since the sum of its digits (22) 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 (22).

It is not an unprimeable number, because it can be changed into a prime (3505219) 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, 8961 + ... + 9343.

It is an arithmetic number, because the mean of its divisors is an integer number (146304).

Almost surely, 2^3505216 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 3505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096512).

3505216 is an abundant number, since it is smaller than the sum of its proper divisors (4687808).

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

3505216 is a wasteful number, since it uses less digits than its factorization.

3505216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 3505216 is about 1872.2222090340. Note that the first 4 decimals coincide. The cubic root of 3505216 is about 151.9048342435.

It can be divided in two parts, 3505 and 216, that added together give a square (3721 = 61²).

The spelling of 3505216 in words is "three million, five hundred five thousand, two hundred sixteen".