3522752880 has 120 divisors (see below), whose sum is σ = 11061552432. Its totient is φ = 927326208.

The previous prime is 3522752843. The next prime is 3522752881. The reversal of 3522752880 is 882572253.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3522752881) 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, 9055726 + ... + 9056114.

Almost surely, 2^3522752880 is an apocalyptic number.

3522752880 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 3522752880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5530776216).

3522752880 is an abundant number, since it is smaller than the sum of its proper divisors (7538799552).

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

3522752880 is an equidigital number, since it uses as much as digits as its factorization.

3522752880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 3522752880 is about 59352.7832540311. The cubic root of 3522752880 is about 1521.5774367204.

The spelling of 3522752880 in words is "three billion, five hundred twenty-two million, seven hundred fifty-two thousand, eight hundred eighty".