3521263120 has 80 divisors (see below), whose sum is σ = 8398748160. Its totient is φ = 1372234752.

The previous prime is 3521263117. The next prime is 3521263127. The reversal of 3521263120 is 213621253.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3521263127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1646692 + ... + 1648828.

It is an arithmetic number, because the mean of its divisors is an integer number (104984352).

Almost surely, 2^3521263120 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 3521263120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199374080).

3521263120 is an abundant number, since it is smaller than the sum of its proper divisors (4877485040).

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

3521263120 is a wasteful number, since it uses less digits than its factorization.

3521263120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 3521263120 is about 59340.2318836049. The cubic root of 3521263120 is about 1521.3629165338.

Adding to 3521263120 its reverse (213621253), we get a palindrome (3734884373).

The spelling of 3521263120 in words is "three billion, five hundred twenty-one million, two hundred sixty-three thousand, one hundred twenty".