3532971264 has 108 divisors (see below), whose sum is σ = 9924568416. Its totient is φ = 1115587584.

The previous prime is 3532971241. The next prime is 3532971269. The reversal of 3532971264 is 4621792353.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3532971269) 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 11 ways as a sum of consecutive naturals, for example, 270877 + ... + 283619.

It is an arithmetic number, because the mean of its divisors is an integer number (91894152).

Almost surely, 2^3532971264 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 3532971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962284208).

3532971264 is an abundant number, since it is smaller than the sum of its proper divisors (6391597152).

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

3532971264 is a wasteful number, since it uses less digits than its factorization.

3532971264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12800 (or 12767 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 3532971264 is about 59438.8026797310. The cubic root of 3532971264 is about 1523.0472203354.

The spelling of 3532971264 in words is "three billion, five hundred thirty-two million, nine hundred seventy-one thousand, two hundred sixty-four".