3223230759840 has 1152 divisors, whose sum is σ = 12994317084672. Its totient is φ = 657170841600.

The previous prime is 3223230759821. The next prime is 3223230759841. The reversal of 3223230759840 is 489570323223.

3223230759840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3223230759840.

It is not an unprimeable number, because it can be changed into a prime (3223230759841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2466128467 + ... + 2466129773.

It is an arithmetic number, because the mean of its divisors is an integer number (11279789136).

Almost surely, 2^{3223230759840} is an apocalyptic number.

3223230759840 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 3223230759840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497158542336).

3223230759840 is an abundant number, since it is smaller than the sum of its proper divisors (9771086324832).

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

3223230759840 is a wasteful number, since it uses less digits than its factorization.

3223230759840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 3223230759840 in words is "three trillion, two hundred twenty-three billion, two hundred thirty million, seven hundred fifty-nine thousand, eight hundred forty".