3864526848 has 400 divisors, whose sum is σ = 14210288400. Its totient is φ = 1019215872.

The previous prime is 3864526829. The next prime is 3864526849. The reversal of 3864526848 is 8486254683.

3864526848 is a `hidden beast` number, since 38 + 6 + 4 + 526 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3864526794 and 3864526803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3864526849) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 297271290 + ... + 297271302.

It is an arithmetic number, because the mean of its divisors is an integer number (35525721).

Almost surely, 2^3864526848 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 3864526848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105144200).

3864526848 is an abundant number, since it is smaller than the sum of its proper divisors (10345761552).

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

3864526848 is an frugal number, since it uses more digits than its factorization.

3864526848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 25 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 3864526848 is about 62165.3186913732. The cubic root of 3864526848 is about 1569.2739889081.

The spelling of 3864526848 in words is "three billion, eight hundred sixty-four million, five hundred twenty-six thousand, eight hundred forty-eight".