3252085562880 has 3360 divisors, whose sum is σ = 15363444542688. Its totient is φ = 652138905600.

The previous prime is 3252085562863. The next prime is 3252085562917. The reversal of 3252085562880 is 882655802523.

3252085562880 is a `hidden beast` number, since 3 + 2 + 5 + 2 + 0 + 8 + 5 + 5 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 53312878050 + ... + 53312878110.

Almost surely, 2^{3252085562880} is an apocalyptic number.

3252085562880 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 3252085562880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7681722271344).

3252085562880 is an abundant number, since it is smaller than the sum of its proper divisors (12111358979808).

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

3252085562880 is an equidigital number, since it uses as much as digits as its factorization.

3252085562880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 3252085562880 in words is "three trillion, two hundred fifty-two billion, eighty-five million, five hundred sixty-two thousand, eight hundred eighty".