3948538104 has 168 divisors, whose sum is σ = 12726848280. Its totient is φ = 1124526240.

The previous prime is 3948538091. The next prime is 3948538157. The reversal of 3948538104 is 4018358493.

3948538104 is a `hidden beast` number, since 3 + 9 + 4 + 8 + 538 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 3948538104.

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 41 ways as a sum of consecutive naturals, for example, 12696109 + ... + 12696419.

Almost surely, 2^3948538104 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 3948538104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6363424140).

3948538104 is an abundant number, since it is smaller than the sum of its proper divisors (8778310176).

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

3948538104 is an frugal number, since it uses more digits than its factorization.

3948538104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3948538104 is about 62837.3941534816. The cubic root of 3948538104 is about 1580.5640916994.

The spelling of 3948538104 in words is "three billion, nine hundred forty-eight million, five hundred thirty-eight thousand, one hundred four".