3859688448 has 704 divisors, whose sum is σ = 14934912000. Its totient is φ = 975421440.

The previous prime is 3859688447. The next prime is 3859688461. The reversal of 3859688448 is 8448869583.

3859688448 is a `hidden beast` number, since 38 + 596 + 8 + 8 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

Its product of digits (53084160) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3859688447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104315886 + ... + 104315922.

Almost surely, 2^3859688448 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 3859688448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467456000).

3859688448 is an abundant number, since it is smaller than the sum of its proper divisors (11075223552).

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

3859688448 is a wasteful number, since it uses less digits than its factorization.

3859688448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 60 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The square root of 3859688448 is about 62126.3909140069. The cubic root of 3859688448 is about 1568.6188033793.

The spelling of 3859688448 in words is "three billion, eight hundred fifty-nine million, six hundred eighty-eight thousand, four hundred forty-eight".