3223995540480 has 1056 divisors, whose sum is σ = 13610869953408. Its totient is φ = 721413734400.

The previous prime is 3223995540443. The next prime is 3223995540541. The reversal of 3223995540480 is 840455993223.

3223995540480 is a `hidden beast` number, since 3 + 2 + 2 + 3 + 9 + 9 + 554 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177905820 + ... + 177923940.

Almost surely, 2^{3223995540480} is an apocalyptic number.

3223995540480 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 3223995540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805434976704).

3223995540480 is an abundant number, since it is smaller than the sum of its proper divisors (10386874412928).

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

3223995540480 is a wasteful number, since it uses less digits than its factorization.

3223995540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18185 (or 18155 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 3223995540480 in words is "three trillion, two hundred twenty-three billion, nine hundred ninety-five million, five hundred forty thousand, four hundred eighty".