3539144448 has 288 divisors, whose sum is σ = 12054694400. Its totient is φ = 1003290624.

The previous prime is 3539144443. The next prime is 3539144467. The reversal of 3539144448 is 8444419353.

3539144448 is a `hidden beast` number, since 35 + 39 + 144 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3539144443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9337923 + ... + 9338301.

Almost surely, 2^3539144448 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 3539144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6027347200).

3539144448 is an abundant number, since it is smaller than the sum of its proper divisors (8515549952).

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

3539144448 is a wasteful number, since it uses less digits than its factorization.

3539144448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 584 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 3539144448 is about 59490.7089216459. The cubic root of 3539144448 is about 1523.9337809903.

The spelling of 3539144448 in words is "three billion, five hundred thirty-nine million, one hundred forty-four thousand, four hundred forty-eight".