3520032768 has 208 divisors, whose sum is σ = 11920853760. Its totient is φ = 1005502464.

The previous prime is 3520032727. The next prime is 3520032779. The reversal of 3520032768 is 8672300253.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771871 + ... + 776417.

Almost surely, 2^3520032768 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 3520032768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960426880).

3520032768 is an abundant number, since it is smaller than the sum of its proper divisors (8400820992).

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

3520032768 is an equidigital number, since it uses as much as digits as its factorization.

3520032768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3520032768 is about 59329.8640483863. The cubic root of 3520032768 is about 1521.1857045606.

The spelling of 3520032768 in words is "three billion, five hundred twenty million, thirty-two thousand, seven hundred sixty-eight".