3230242641120 has 768 divisors, whose sum is σ = 11970371911680. Its totient is φ = 724482662400.

The previous prime is 3230242641103. The next prime is 3230242641277. The reversal of 3230242641120 is 211462420323.

It is a super-2 number, since 2×3230242641120² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 488908857 + ... + 488915463.

It is an arithmetic number, because the mean of its divisors is an integer number (15586421760).

Almost surely, 2^{3230242641120} is an apocalyptic number.

3230242641120 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 3230242641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985185955840).

3230242641120 is an abundant number, since it is smaller than the sum of its proper divisors (8740129270560).

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

3230242641120 is a wasteful number, since it uses less digits than its factorization.

3230242641120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6799 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 3230242641120 in words is "three trillion, two hundred thirty billion, two hundred forty-two million, six hundred forty-one thousand, one hundred twenty".