3560678424576 has 1377 divisors, whose sum is σ = 13454630955441. Its totient is φ = 939080024064.

The previous prime is 3560678424557. The next prime is 3560678424577. The reversal of 3560678424576 is 6754248760653.

It is a happy number.

The square root of 3560678424576 is 1886976.

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

3560678424576 is a `hidden beast` number, since 3 + 56 + 0 + 6 + 7 + 8 + 4 + 2 + 4 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 526727577600 + 3033950846976 = 725760^2 + 1741824^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3560678424577) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 273898340346 + ... + 273898340358.

Almost surely, 2^{3560678424576} is an apocalyptic number.

3560678424576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3560678424576 is the 1886976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3560678424576

3560678424576 is an abundant number, since it is smaller than the sum of its proper divisors (9893952530865).

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

3560678424576 is an frugal number, since it uses more digits than its factorization.

3560678424576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 3560678424576 in words is "three trillion, five hundred sixty billion, six hundred seventy-eight million, four hundred twenty-four thousand, five hundred seventy-six".