3948533568 has 280 divisors, whose sum is σ = 13462967232. Its totient is φ = 1120905216.

The previous prime is 3948533461. The next prime is 3948533651. The reversal of 3948533568 is 8653358493.

It is a happy number.

3948533568 is a `hidden beast` number, since 3 + 9 + 48 + 5 + 33 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8454871 + ... + 8455337.

Almost surely, 2^3948533568 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 3948533568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6731483616).

3948533568 is an abundant number, since it is smaller than the sum of its proper divisors (9514433664).

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

3948533568 is a wasteful number, since it uses less digits than its factorization.

3948533568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 712 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The square root of 3948533568 is about 62837.3580603131. The cubic root of 3948533568 is about 1580.5634864592.

The spelling of 3948533568 in words is "three billion, nine hundred forty-eight million, five hundred thirty-three thousand, five hundred sixty-eight".