3224439549000 has 512 divisors, whose sum is σ = 11553325056000. Its totient is φ = 831054816000.

The previous prime is 3224439548983. The next prime is 3224439549007. The reversal of 3224439549000 is 9459344223.

3224439549000 is a `hidden beast` number, since 32 + 2 + 4 + 43 + 95 + 490 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3224439549007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 822769041 + ... + 822772959.

It is an arithmetic number, because the mean of its divisors is an integer number (22565088000).

Almost surely, 2^{3224439549000} is an apocalyptic number.

3224439549000 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 3224439549000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5776662528000).

3224439549000 is an abundant number, since it is smaller than the sum of its proper divisors (8328885507000).

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

3224439549000 is a wasteful number, since it uses less digits than its factorization.

3224439549000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 3224439549000 in words is "three trillion, two hundred twenty-four billion, four hundred thirty-nine million, five hundred forty-nine thousand".