3225577248000 has 576 divisors, whose sum is σ = 12082063069440. Its totient is φ = 847300608000.

The previous prime is 3225577247987. The next prime is 3225577248059. The reversal of 3225577248000 is 8427755223.

3225577248000 is a `hidden beast` number, since 3 + 22 + 557 + 72 + 4 + 8 + 0 + 0 + 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57860140 + ... + 57915860.

It is an arithmetic number, because the mean of its divisors is an integer number (20975803940).

Almost surely, 2^{3225577248000} is an apocalyptic number.

3225577248000 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 3225577248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041031534720).

3225577248000 is an abundant number, since it is smaller than the sum of its proper divisors (8856485821440).

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

3225577248000 is an equidigital number, since it uses as much as digits as its factorization.

3225577248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55828 (or 55798 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 3225577248000 in words is "three trillion, two hundred twenty-five billion, five hundred seventy-seven million, two hundred forty-eight thousand".