3520319264 has 96 divisors (see below), whose sum is σ = 8655486336. Its totient is φ = 1369221120.

The previous prime is 3520319249. The next prime is 3520319267. The reversal of 3520319264 is 4629130253.

3520319264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3520319267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2455892 + ... + 2457324.

It is an arithmetic number, because the mean of its divisors is an integer number (90161316).

Almost surely, 2^3520319264 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 3520319264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327743168).

3520319264 is an abundant number, since it is smaller than the sum of its proper divisors (5135167072).

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

3520319264 is a wasteful number, since it uses less digits than its factorization.

3520319264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 3520319264 is about 59332.2784325699. The cubic root of 3520319264 is about 1521.2269732859.

The spelling of 3520319264 in words is "three billion, five hundred twenty million, three hundred nineteen thousand, two hundred sixty-four".