3512016 has 60 divisors (see below), whose sum is σ = 10179780. Its totient is φ = 1130304.

The previous prime is 3512011. The next prime is 3512051. The reversal of 3512016 is 6102153.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3512016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 608400 + 2903616 = 780^2 + 1704^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 3512016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3512011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121090 + ... + 121118.

It is an arithmetic number, because the mean of its divisors is an integer number (169663).

Almost surely, 2^3512016 is an apocalyptic number.

3512016 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 3512016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089890).

3512016 is an abundant number, since it is smaller than the sum of its proper divisors (6667764).

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

3512016 is an equidigital number, since it uses as much as digits as its factorization.

3512016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 3512016 is about 1874.0373528828. The cubic root of 3512016 is about 152.0030008641.

3512016 divided by its sum of digits (18) gives a cube (195112 = 58³).

Adding to 3512016 its reverse (6102153), we get a palindrome (9614169).

The spelling of 3512016 in words is "three million, five hundred twelve thousand, sixteen".