3529728640 has 64 divisors (see below), whose sum is σ = 8448666120. Its totient is φ = 1410150400.

The previous prime is 3529728637. The next prime is 3529728641. The reversal of 3529728640 is 468279253.

It can be written as a sum of positive squares in 4 ways, for example, as 2923781184 + 605947456 = 54072^2 + 24616^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3529728641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 599310 + ... + 605170.

Almost surely, 2^3529728640 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 3529728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224333060).

3529728640 is an abundant number, since it is smaller than the sum of its proper divisors (4918937480).

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

3529728640 is an equidigital number, since it uses as much as digits as its factorization.

3529728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6821 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 3529728640 is about 59411.5194217418. The cubic root of 3529728640 is about 1522.5811177450.

The spelling of 3529728640 in words is "three billion, five hundred twenty-nine million, seven hundred twenty-eight thousand, six hundred forty".