3225084050880 has 280 divisors, whose sum is σ = 11485942443360. Its totient is φ = 858991564800.

The previous prime is 3225084050879. The next prime is 3225084050897. The reversal of 3225084050880 is 880504805223.

3225084050880 is a `hidden beast` number, since 3 + 2 + 25 + 0 + 8 + 40 + 508 + 80 = 666.

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 39 ways as a sum of consecutive naturals, for example, 21672730 + ... + 21821030.

It is an arithmetic number, because the mean of its divisors is an integer number (41021223012).

Almost surely, 2^{3225084050880} is an apocalyptic number.

3225084050880 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 3225084050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742971221680).

3225084050880 is an abundant number, since it is smaller than the sum of its proper divisors (8260858392480).

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

3225084050880 is a wasteful number, since it uses less digits than its factorization.

3225084050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149169 (or 149150 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 3225084050880 in words is "three trillion, two hundred twenty-five billion, eighty-four million, fifty thousand, eight hundred eighty".