3230424198144 has 1760 divisors, whose sum is σ = 12352598508096. Its totient is φ = 825564856320.

The previous prime is 3230424198137. The next prime is 3230424198151. The reversal of 3230424198144 is 4418914240323.

3230424198144 is a `hidden beast` number, since 3 + 2 + 30 + 424 + 198 + 1 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3230424198137) and next prime (3230424198151).

It is a self number, because there is not a number n which added to its sum of digits gives 3230424198144.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7460563752 + ... + 7460564184.

Almost surely, 2^{3230424198144} is an apocalyptic number.

3230424198144 is a gapful number since it is divisible by the number (34) 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 3230424198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176299254048).

3230424198144 is an abundant number, since it is smaller than the sum of its proper divisors (9122174309952).

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

3230424198144 is a wasteful number, since it uses less digits than its factorization.

3230424198144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3230424198144 in words is "three trillion, two hundred thirty billion, four hundred twenty-four million, one hundred ninety-eight thousand, one hundred forty-four".