3561803520 has 576 divisors, whose sum is σ = 13287504384. Its totient is φ = 805109760.

The previous prime is 3561803513. The next prime is 3561803521. The reversal of 3561803520 is 253081653.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3561803521) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 67203814 + ... + 67203866.

It is an arithmetic number, because the mean of its divisors is an integer number (23068584).

Almost surely, 2^3561803520 is an apocalyptic number.

3561803520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3561803520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643752192).

3561803520 is an abundant number, since it is smaller than the sum of its proper divisors (9725700864).

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

3561803520 is a wasteful number, since it uses less digits than its factorization.

3561803520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 3561803520 is about 59680.8471789736. The cubic root of 3561803520 is about 1527.1791503169.

The spelling of 3561803520 in words is "three billion, five hundred sixty-one million, eight hundred three thousand, five hundred twenty".