3528541620072 has 192 divisors, whose sum is σ = 11309530752000. Its totient is φ = 972422019072.

The previous prime is 3528541620059. The next prime is 3528541620119. The reversal of 3528541620072 is 2700261458253.

3528541620072 is a `hidden beast` number, since 3 + 5 + 28 + 5 + 416 + 200 + 7 + 2 = 666.

3528541620072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14627913 + ... + 14867175.

It is an arithmetic number, because the mean of its divisors is an integer number (58903806000).

Almost surely, 2^{3528541620072} 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 3528541620072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654765376000).

3528541620072 is an abundant number, since it is smaller than the sum of its proper divisors (7780989131928).

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

3528541620072 is a wasteful number, since it uses less digits than its factorization.

3528541620072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240320 (or 240313 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 3528541620072 in words is "three trillion, five hundred twenty-eight billion, five hundred forty-one million, six hundred twenty thousand, seventy-two".