3522566880 has 648 divisors, whose sum is σ = 14846314392. Its totient is φ = 786433536.

The previous prime is 3522566743. The next prime is 3522566903. The reversal of 3522566880 is 886652253.

3522566880 is a `hidden beast` number, since 3 + 5 + 2 + 2 + 566 + 8 + 80 = 666.

3522566880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 81920139 + ... + 81920181.

It is an arithmetic number, because the mean of its divisors is an integer number (22910979).

Almost surely, 2^3522566880 is an apocalyptic number.

3522566880 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 3522566880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7423157196).

3522566880 is an abundant number, since it is smaller than the sum of its proper divisors (11323747512).

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

3522566880 is an equidigital number, since it uses as much as digits as its factorization.

3522566880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 3522566880 is about 59351.2163312598. The cubic root of 3522566880 is about 1521.5506566809.

The spelling of 3522566880 in words is "three billion, five hundred twenty-two million, five hundred sixty-six thousand, eight hundred eighty".