3852914688 has 468 divisors, whose sum is σ = 13595749440. Its totient is φ = 1086898176.

The previous prime is 3852914687. The next prime is 3852914711. The reversal of 3852914688 is 8864192583.

3852914688 is a `hidden beast` number, since 38 + 529 + 1 + 4 + 6 + 88 = 666.

It is a super-2 number, since 2×3852914688² = 29689903186012274688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3852914687) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48771033 + ... + 48771111.

Almost surely, 2^3852914688 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 3852914688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797874720).

3852914688 is an abundant number, since it is smaller than the sum of its proper divisors (9742834752).

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

3852914688 is an frugal number, since it uses more digits than its factorization.

3852914688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 91 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 3852914688 is about 62071.8510115495. The cubic root of 3852914688 is about 1567.7006231160.

The spelling of 3852914688 in words is "three billion, eight hundred fifty-two million, nine hundred fourteen thousand, six hundred eighty-eight".