3948558768 has 180 divisors, whose sum is σ = 14023519848. Its totient is φ = 1025579520.

The previous prime is 3948558763. The next prime is 3948558773. The reversal of 3948558768 is 8678558493.

3948558768 is a `hidden beast` number, since 3 + 9 + 4 + 8 + 558 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3948558763) and next prime (3948558773).

It is a super-2 number, since 2×3948558768² = 31182232688699355648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3948558763) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 52180 + ... + 103052.

Almost surely, 2^3948558768 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 3948558768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7011759924).

3948558768 is an abundant number, since it is smaller than the sum of its proper divisors (10074961080).

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

3948558768 is a wasteful number, since it uses less digits than its factorization.

3948558768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50912 (or 50896 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The square root of 3948558768 is about 62837.5585776532. The cubic root of 3948558768 is about 1580.5668488987.

The spelling of 3948558768 in words is "three billion, nine hundred forty-eight million, five hundred fifty-eight thousand, seven hundred sixty-eight".