3535656768 has 168 divisors, whose sum is σ = 11852013888. Its totient is φ = 986646528.

The previous prime is 3535656739. The next prime is 3535656769. The reversal of 3535656768 is 8676565353.

3535656768 is a `hidden beast` number, since 3 + 5 + 3 + 565 + 6 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×3535656768² = 25001737562208411648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3535656769) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 163180 + ... + 183572.

Almost surely, 2^3535656768 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 3535656768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926006944).

3535656768 is an abundant number, since it is smaller than the sum of its proper divisors (8316357120).

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

3535656768 is a wasteful number, since it uses less digits than its factorization.

3535656768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20461 (or 20448 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

The square root of 3535656768 is about 59461.3888838799. The cubic root of 3535656768 is about 1523.4330252940.

The spelling of 3535656768 in words is "three billion, five hundred thirty-five million, six hundred fifty-six thousand, seven hundred sixty-eight".