3520512 has 72 divisors (see below), whose sum is σ = 10221120. Its totient is φ = 1167360.

The previous prime is 3520511. The next prime is 3520519. The reversal of 3520512 is 2150253.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3520511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18337 + ... + 18527.

It is an arithmetic number, because the mean of its divisors is an integer number (141960).

Almost surely, 2^3520512 is an apocalyptic number.

3520512 is a gapful number since it is divisible by the number (32) 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 3520512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110560).

3520512 is an abundant number, since it is smaller than the sum of its proper divisors (6700608).

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

3520512 is a wasteful number, since it uses less digits than its factorization.

3520512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 3520512 is about 1876.3027474264. The cubic root of 3520512 is about 152.1254734958.

Adding to 3520512 its reverse (2150253), we get a palindrome (5670765).

The spelling of 3520512 in words is "three million, five hundred twenty thousand, five hundred twelve".