3948717528 has 192 divisors, whose sum is σ = 12579840000. Its totient is φ = 1118432448.

The previous prime is 3948717527. The next prime is 3948717547. The reversal of 3948717528 is 8257178493.

It is a happy number.

3948717528 is a `hidden beast` number, since 3 + 9 + 48 + 71 + 7 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948717523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3135763 + ... + 3137021.

It is an arithmetic number, because the mean of its divisors is an integer number (65520000).

Almost surely, 2^3948717528 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 3948717528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920000).

3948717528 is an abundant number, since it is smaller than the sum of its proper divisors (8631122472).

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

3948717528 is a wasteful number, since it uses less digits than its factorization.

3948717528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1398 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 3948717528 is about 62838.8218221825. The cubic root of 3948717528 is about 1580.5880319383.

The spelling of 3948717528 in words is "three billion, nine hundred forty-eight million, seven hundred seventeen thousand, five hundred twenty-eight".