3868245504 has 160 divisors (see below), whose sum is σ = 11846340000. Its totient is φ = 1244823552.

The previous prime is 3868245457. The next prime is 3868245583. The reversal of 3868245504 is 4055428683.

3868245504 is a `hidden beast` number, since 38 + 68 + 2 + 4 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3868245504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396072 + ... + 405720.

It is an arithmetic number, because the mean of its divisors is an integer number (74039625).

Almost surely, 2^3868245504 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 3868245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5923170000).

3868245504 is an abundant number, since it is smaller than the sum of its proper divisors (7978094496).

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

3868245504 is an equidigital number, since it uses as much as digits as its factorization.

3868245504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9705 (or 9683 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 3868245504 is about 62195.2209096487. The cubic root of 3868245504 is about 1569.7771742131. Note that the first 3 decimals are identical.

The spelling of 3868245504 in words is "three billion, eight hundred sixty-eight million, two hundred forty-five thousand, five hundred four".