3528711648 has 768 divisors, whose sum is σ = 13934592000. Its totient is φ = 841881600.

The previous prime is 3528711647. The next prime is 3528711649. The reversal of 3528711648 is 8461178253.

3528711648 is a `hidden beast` number, since 3 + 528 + 7 + 116 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3528711647) and next prime (3528711649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3528711647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59808643 + ... + 59808701.

It is an arithmetic number, because the mean of its divisors is an integer number (18144000).

Almost surely, 2^3528711648 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 3528711648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967296000).

3528711648 is an abundant number, since it is smaller than the sum of its proper divisors (10405880352).

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

3528711648 is a wasteful number, since it uses less digits than its factorization.

3528711648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 3528711648 is about 59402.9599262528. The cubic root of 3528711648 is about 1522.4348740615.

The spelling of 3528711648 in words is "three billion, five hundred twenty-eight million, seven hundred eleven thousand, six hundred forty-eight".