3528539013888 has 720 divisors, whose sum is σ = 13042763705664. Its totient is φ = 925681582080.

The previous prime is 3528539013763. The next prime is 3528539013893. The reversal of 3528539013888 is 8883109358253.

3528539013888 is a `hidden beast` number, since 3 + 5 + 2 + 8 + 539 + 0 + 13 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 101153506 + ... + 101188382.

Almost surely, 2^{3528539013888} 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 3528539013888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521381852832).

3528539013888 is an abundant number, since it is smaller than the sum of its proper divisors (9514224691776).

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

3528539013888 is a wasteful number, since it uses less digits than its factorization.

3528539013888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34970 (or 34947 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 3528539013888 in words is "three trillion, five hundred twenty-eight billion, five hundred thirty-nine million, thirteen thousand, eight hundred eighty-eight".