3558504960000 has 975 divisors, whose sum is σ = 13385779650463. Its totient is φ = 941690880000.

The previous prime is 3558504959993. The next prime is 3558504960019. The reversal of 3558504960000 is 694058553.

The square root of 3558504960000 is 1886400.

It is a perfect power (a square), and thus also a powerful number.

3558504960000 is a `hidden beast` number, since 3 + 5 + 58 + 504 + 96 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 278986788864 + 3279518171136 = 528192^2 + 1810944^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 27164159935 + ... + 27164160065.

Almost surely, 2^{3558504960000} is an apocalyptic number.

3558504960000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3558504960000 is the 1886400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3558504960000

3558504960000 is an abundant number, since it is smaller than the sum of its proper divisors (9827274690463).

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

3558504960000 is an frugal number, since it uses more digits than its factorization.

3558504960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 3558504960000 in words is "three trillion, five hundred fifty-eight billion, five hundred four million, nine hundred sixty thousand".