3527532106560 has 448 divisors, whose sum is σ = 15515035914240. Its totient is φ = 732993546240.

The previous prime is 3527532106541. The next prime is 3527532106577. The reversal of 3527532106560 is 656012357253.

3527532106560 is a `hidden beast` number, since 3 + 5 + 2 + 7 + 532 + 106 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1985884 + ... + 3316443.

Almost surely, 2^{3527532106560} is an apocalyptic number.

3527532106560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3527532106560 is an abundant number, since it is smaller than the sum of its proper divisors (11987503807680).

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

3527532106560 is a wasteful number, since it uses less digits than its factorization.

3527532106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5302371 (or 5302355 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 3527532106560 in words is "three trillion, five hundred twenty-seven billion, five hundred thirty-two million, one hundred six thousand, five hundred sixty".