3853867248 has 420 divisors, whose sum is σ = 14230046808. Its totient is φ = 999371520.

The previous prime is 3853867247. The next prime is 3853867249. The reversal of 3853867248 is 8427683583.

3853867248 is a `hidden beast` number, since 3 + 8 + 538 + 67 + 2 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (3853867247) and next prime (3853867249).

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 = 3853867194 and 3853867203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3853867247) 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 83 ways as a sum of consecutive naturals, for example, 6286590 + ... + 6287202.

Almost surely, 2^3853867248 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 3853867248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115023404).

3853867248 is an abundant number, since it is smaller than the sum of its proper divisors (10376179560).

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

3853867248 is a wasteful number, since it uses less digits than its factorization.

3853867248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 636 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 3853867248 is about 62079.5235806461. The cubic root of 3853867248 is about 1567.8298072080.

The spelling of 3853867248 in words is "three billion, eight hundred fifty-three million, eight hundred sixty-seven thousand, two hundred forty-eight".