3252198741120 has 576 divisors, whose sum is σ = 13074174360000. Its totient is φ = 742767169536.

The previous prime is 3252198741089. The next prime is 3252198741139. The reversal of 3252198741120 is 211478912523.

3252198741120 is a `hidden beast` number, since 3 + 2 + 521 + 9 + 8 + 7 + 4 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 423073917 + ... + 423081603.

It is an arithmetic number, because the mean of its divisors is an integer number (22698219375).

Almost surely, 2^{3252198741120} is an apocalyptic number.

3252198741120 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 3252198741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6537087180000).

3252198741120 is an abundant number, since it is smaller than the sum of its proper divisors (9821975618880).

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

3252198741120 is a wasteful number, since it uses less digits than its factorization.

3252198741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9225 (or 9203 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 3252198741120 in words is "three trillion, two hundred fifty-two billion, one hundred ninety-eight million, seven hundred forty-one thousand, one hundred twenty".