3526236131328 has 312 divisors, whose sum is σ = 10800517022568. Its totient is φ = 1104660135936.

The previous prime is 3526236131293. The next prime is 3526236131329. The reversal of 3526236131328 is 8231316326253.

3526236131328 is a `hidden beast` number, since 3 + 5 + 2 + 6 + 2 + 3 + 613 + 1 + 3 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 371378110464 + 3154858020864 = 609408^2 + 1776192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3526236131329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474399100 + ... + 474406532.

It is an arithmetic number, because the mean of its divisors is an integer number (34617041739).

Almost surely, 2^{3526236131328} 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 3526236131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400258511284).

3526236131328 is an abundant number, since it is smaller than the sum of its proper divisors (7274280891240).

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

3526236131328 is a wasteful number, since it uses less digits than its factorization.

3526236131328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8237 (or 8212 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 3526236131328 in words is "three trillion, five hundred twenty-six billion, two hundred thirty-six million, one hundred thirty-one thousand, three hundred twenty-eight".