3530512128 has 576 divisors, whose sum is σ = 12263215104. Its totient is φ = 884736000.

The previous prime is 3530512127. The next prime is 3530512129. The reversal of 3530512128 is 8212150353.

It is an interprime number because it is at equal distance from previous prime (3530512127) and next prime (3530512129).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3530512095 and 3530512104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3530512127) 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, 57877218 + ... + 57877278.

It is an arithmetic number, because the mean of its divisors is an integer number (21290304).

Almost surely, 2^3530512128 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 3530512128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6131607552).

3530512128 is an abundant number, since it is smaller than the sum of its proper divisors (8732702976).

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

3530512128 is a wasteful number, since it uses less digits than its factorization.

3530512128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 3530512128 is about 59418.1127939957. The cubic root of 3530512128 is about 1522.6937643442.

The spelling of 3530512128 in words is "three billion, five hundred thirty million, five hundred twelve thousand, one hundred twenty-eight".