3528152123832 has 288 divisors, whose sum is σ = 11170136268720. Its totient is φ = 1003099023360.

The previous prime is 3528152123809. The next prime is 3528152123857. The reversal of 3528152123832 is 2383212518253.

3528152123832 is a `hidden beast` number, since 3 + 5 + 28 + 1 + 521 + 23 + 83 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 678879858 + ... + 678885054.

Almost surely, 2^{3528152123832} 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 3528152123832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585068134360).

3528152123832 is an abundant number, since it is smaller than the sum of its proper divisors (7641984144888).

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

3528152123832 is a wasteful number, since it uses less digits than its factorization.

3528152123832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131 (or 6117 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 3528152123832 in words is "three trillion, five hundred twenty-eight billion, one hundred fifty-two million, one hundred twenty-three thousand, eight hundred thirty-two".