3225011545200 has 240 divisors, whose sum is σ = 10418929145856. Its totient is φ = 852695193600.

The previous prime is 3225011545181. The next prime is 3225011545213. The reversal of 3225011545200 is 25451105223.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70341484 + ... + 70387316.

Almost surely, 2^{3225011545200} is an apocalyptic number.

3225011545200 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 3225011545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209464572928).

3225011545200 is an abundant number, since it is smaller than the sum of its proper divisors (7193917600656).

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

3225011545200 is a wasteful number, since it uses less digits than its factorization.

3225011545200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46352 (or 46341 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 3225011545200 in words is "three trillion, two hundred twenty-five billion, eleven million, five hundred forty-five thousand, two hundred".