3528907488288 has 384 divisors, whose sum is σ = 12692242483200. Its totient is φ = 928910509056.

The previous prime is 3528907488283. The next prime is 3528907488289. The reversal of 3528907488288 is 8828847098253.

3528907488288 is a `hidden beast` number, since 3 + 52 + 8 + 90 + 7 + 488 + 2 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3528907488283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41077443 + ... + 41163261.

It is an arithmetic number, because the mean of its divisors is an integer number (33052714800).

Almost surely, 2^{3528907488288} 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 3528907488288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6346121241600).

3528907488288 is an abundant number, since it is smaller than the sum of its proper divisors (9163334994912).

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

3528907488288 is a wasteful number, since it uses less digits than its factorization.

3528907488288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86381 (or 86367 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

It can be divided in two parts, 3528907 and 488288, that added together give a triangular number (4017195 = T₂₈₃₄).

The spelling of 3528907488288 in words is "three trillion, five hundred twenty-eight billion, nine hundred seven million, four hundred eighty-eight thousand, two hundred eighty-eight".