3252617169120 has 576 divisors, whose sum is σ = 12583063584000. Its totient is φ = 786881433600.

The previous prime is 3252617169119. The next prime is 3252617169169. The reversal of 3252617169120 is 219617162523.

3252617169120 is a `hidden beast` number, since 3 + 2 + 5 + 2 + 617 + 1 + 6 + 9 + 1 + 20 = 666.

3252617169120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3252617169120³ (a number of 39 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 213404700 + ... + 213419940.

It is an arithmetic number, because the mean of its divisors is an integer number (21845596500).

Almost surely, 2^{3252617169120} is an apocalyptic number.

3252617169120 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 3252617169120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291531792000).

3252617169120 is an abundant number, since it is smaller than the sum of its proper divisors (9330446414880).

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

3252617169120 is a wasteful number, since it uses less digits than its factorization.

3252617169120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15781 (or 15761 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 3252617169120 in words is "three trillion, two hundred fifty-two billion, six hundred seventeen million, one hundred sixty-nine thousand, one hundred twenty".