3998422132224 has 640 divisors, whose sum is σ = 12099372257280. Its totient is φ = 1164931891200.

The previous prime is 3998422132151. The next prime is 3998422132231. The reversal of 3998422132224 is 4222312248993.

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 63 ways as a sum of consecutive naturals, for example, 9497439534 + ... + 9497439954.

It is an arithmetic number, because the mean of its divisors is an integer number (18905269152).

Almost surely, 2^{3998422132224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3998422132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049686128640).

3998422132224 is an abundant number, since it is smaller than the sum of its proper divisors (8100950125056).

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

3998422132224 is a wasteful number, since it uses less digits than its factorization.

3998422132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 766 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 51.

The spelling of 3998422132224 in words is "three trillion, nine hundred ninety-eight billion, four hundred twenty-two million, one hundred thirty-two thousand, two hundred twenty-four".