3563998144 has 168 divisors, whose sum is σ = 8603059248. Its totient is φ = 1459261440.

The previous prime is 3563998127. The next prime is 3563998157. The reversal of 3563998144 is 4418993653.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3563998091 and 3563998100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6814267 + ... + 6814789.

It is an arithmetic number, because the mean of its divisors is an integer number (51208686).

Almost surely, 2^3563998144 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 3563998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301529624).

3563998144 is an abundant number, since it is smaller than the sum of its proper divisors (5039061104).

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

3563998144 is a wasteful number, since it uses less digits than its factorization.

3563998144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 626 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 52.

The square root of 3563998144 is about 59699.2306818103. The cubic root of 3563998144 is about 1527.4927457438.

The spelling of 3563998144 in words is "three billion, five hundred sixty-three million, nine hundred ninety-eight thousand, one hundred forty-four".