3528754560 has 192 divisors, whose sum is σ = 12216438000. Its totient is φ = 938594304.

The previous prime is 3528754529. The next prime is 3528754573. The reversal of 3528754560 is 654578253.

3528754560 is a `hidden beast` number, since 3 + 5 + 2 + 87 + 5 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4256226 + ... + 4257054.

Almost surely, 2^3528754560 is an apocalyptic number.

3528754560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3528754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6108219000).

3528754560 is an abundant number, since it is smaller than the sum of its proper divisors (8687683440).

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

3528754560 is a wasteful number, since it uses less digits than its factorization.

3528754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 3528754560 is about 59403.3211192775. The cubic root of 3528754560 is about 1522.4410453848.

It can be divided in two parts, 352875 and 4560, that added together give a triangular number (357435 = T₈₄₅).

The spelling of 3528754560 in words is "three billion, five hundred twenty-eight million, seven hundred fifty-four thousand, five hundred sixty".