3230442022080 has 1792 divisors, whose sum is σ = 14246685573120. Its totient is φ = 600684429312.

The previous prime is 3230442022051. The next prime is 3230442022147. The reversal of 3230442022080 is 802202440323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1412522697 + ... + 1412524983.

It is an arithmetic number, because the mean of its divisors is an integer number (7950159360).

Almost surely, 2^{3230442022080} is an apocalyptic number.

3230442022080 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 3230442022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7123342786560).

3230442022080 is an abundant number, since it is smaller than the sum of its proper divisors (11016243551040).

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

3230442022080 is a wasteful number, since it uses less digits than its factorization.

3230442022080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

It can be divided in two parts, 32304420 and 22080, that multiplied together give a square (713281593600 = 844560²).

The spelling of 3230442022080 in words is "three trillion, two hundred thirty billion, four hundred forty-two million, twenty-two thousand, eighty".